55935953568000 has 1080 divisors, whose sum is σ = 228799791019800. Its totient is φ = 13560155136000.

The previous prime is 55935953567981. The next prime is 55935953568023. The reversal of 55935953568000 is 86535953955.

55935953568000 is a `hidden beast` number, since 5 + 5 + 9 + 3 + 595 + 35 + 6 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16649533587456 + 39286419980544 = 4080384^2 + 6267888^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×55935953568000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 313542826 + ... + 313721174.

Almost surely, 2^{55935953568000} is an apocalyptic number.

55935953568000 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 55935953568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114399895509900).

55935953568000 is an abundant number, since it is smaller than the sum of its proper divisors (172863837451800).

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

55935953568000 is a wasteful number, since it uses less digits than its factorization.

55935953568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178414 (or 178370 counting only the distinct ones).

The product of its (nonzero) digits is 109350000, while the sum is 63.

The spelling of 55935953568000 in words is "fifty-five trillion, nine hundred thirty-five billion, nine hundred fifty-three million, five hundred sixty-eight thousand".