55956096000 has 1056 divisors, whose sum is σ = 239912854272. Its totient is φ = 12740198400.

The previous prime is 55956095963. The next prime is 55956096029. The reversal of 55956096000 is 69065955.

55956096000 is a `hidden beast` number, since 559 + 5 + 6 + 0 + 96 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×55956096000² (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 95 ways as a sum of consecutive naturals, for example, 217727872 + ... + 217728128.

Almost surely, 2^55956096000 is an apocalyptic number.

55956096000 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 55956096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119956427136).

55956096000 is an abundant number, since it is smaller than the sum of its proper divisors (183956758272).

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

55956096000 is an equidigital number, since it uses as much as digits as its factorization.

55956096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 55956096000 in words is "fifty-five billion, nine hundred fifty-six million, ninety-six thousand".