55306395648000 has 2720 divisors, whose sum is σ = 241471788729600. Its totient is φ = 12641461862400.

The previous prime is 55306395647989. The next prime is 55306395648001. The reversal of 55306395648000 is 84659360355.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (7!)² ⋅ 3!.

55306395648000 is a `hidden beast` number, since 5 + 53 + 0 + 63 + 9 + 56 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×55306395648000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55306395648001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7900913663997 + ... + 7900913664003.

Almost surely, 2^{55306395648000} is an apocalyptic number.

55306395648000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55306395648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120735894364800).

55306395648000 is an abundant number, since it is smaller than the sum of its proper divisors (186165393081600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55306395648000 is an frugal number, since it uses more digits than its factorization.

55306395648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

55306395648000 divided by its sum of digits (54) gives a cube (1024192512000 = 10080³).

55306395648000 divided by its product of nonzero digits (11664000) gives a cube (4741632 = 168³).

The spelling of 55306395648000 in words is "fifty-five trillion, three hundred six billion, three hundred ninety-five million, six hundred forty-eight thousand".