55646438400 has 1584 divisors, whose sum is σ = 250010426880. Its totient is φ = 12076646400.

The previous prime is 55646438383. The next prime is 55646438413. The reversal of 55646438400 is 483464655.

55646438400 is a `hidden beast` number, since 5 + 564 + 6 + 4 + 3 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×55646438400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1049932774 + ... + 1049932826.

Almost surely, 2^55646438400 is an apocalyptic number.

55646438400 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 55646438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125005213440).

55646438400 is an abundant number, since it is smaller than the sum of its proper divisors (194363988480).

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

55646438400 is a wasteful number, since it uses less digits than its factorization.

55646438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 55646438400 in words is "fifty-five billion, six hundred forty-six million, four hundred thirty-eight thousand, four hundred".