56169931046400 has 720 divisors, whose sum is σ = 204637831603920. Its totient is φ = 14709355315200.

The previous prime is 56169931046381. The next prime is 56169931046429. The reversal of 56169931046400 is 464013996165.

It is a happy number.

56169931046400 is a `hidden beast` number, since 5 + 6 + 169 + 9 + 3 + 10 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×56169931046400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 7428898620 + ... + 7428906180.

It is an arithmetic number, because the mean of its divisors is an integer number (284219210561).

Almost surely, 2^{56169931046400} is an apocalyptic number.

56169931046400 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 56169931046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102318915801960).

56169931046400 is an abundant number, since it is smaller than the sum of its proper divisors (148467900557520).

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

56169931046400 is a wasteful number, since it uses less digits than its factorization.

56169931046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8747 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 56169931046400 in words is "fifty-six trillion, one hundred sixty-nine billion, nine hundred thirty-one million, forty-six thousand, four hundred".