56269416009600 has 768 divisors, whose sum is σ = 210326475744000. Its totient is φ = 14688184688640.

The previous prime is 56269416009593. The next prime is 56269416009617. The reversal of 56269416009600 is 690061496265.

56269416009600 is a `hidden beast` number, since 5 + 6 + 26 + 9 + 4 + 1 + 6 + 0 + 0 + 9 + 600 = 666.

56269416009600 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 2×56269416009600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 781624807 + ... + 781696793.

It is an arithmetic number, because the mean of its divisors is an integer number (273862598625).

Almost surely, 2^{56269416009600} is an apocalyptic number.

56269416009600 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 56269416009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105163237872000).

56269416009600 is an abundant number, since it is smaller than the sum of its proper divisors (154057059734400).

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

56269416009600 is a wasteful number, since it uses less digits than its factorization.

56269416009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72212 (or 72189 counting only the distinct ones).

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

The spelling of 56269416009600 in words is "fifty-six trillion, two hundred sixty-nine billion, four hundred sixteen million, nine thousand, six hundred".