56565549169920 has 2592 divisors, whose sum is σ = 241323458568192. Its totient is φ = 11977134833664.

The previous prime is 56565549169919. The next prime is 56565549169951. The reversal of 56565549169920 is 2996194556565.

56565549169920 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 55 + 491 + 69 + 9 + 20 = 666.

56565549169920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56565549169920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 287134767262 + ... + 287134767458.

It is an arithmetic number, because the mean of its divisors is an integer number (93103186176).

Almost surely, 2^{56565549169920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56565549169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120661729284096).

56565549169920 is an abundant number, since it is smaller than the sum of its proper divisors (184757909398272).

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

56565549169920 is a wasteful number, since it uses less digits than its factorization.

56565549169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 787320000, while the sum is 72.

The spelling of 56565549169920 in words is "fifty-six trillion, five hundred sixty-five billion, five hundred forty-nine million, one hundred sixty-nine thousand, nine hundred twenty".