56268535680 has 512 divisors, whose sum is σ = 230605516800. Its totient is φ = 12859140096.

The previous prime is 56268535649. The next prime is 56268535691. The reversal of 56268535680 is 8653586265.

56268535680 is a `hidden beast` number, since 5 + 6 + 26 + 8 + 53 + 568 + 0 = 666.

It is a super-2 number, since 2×56268535680² (a number of 22 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9794889 + ... + 9800631.

It is an arithmetic number, because the mean of its divisors is an integer number (450401400).

Almost surely, 2^56268535680 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 56268535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115302758400).

56268535680 is an abundant number, since it is smaller than the sum of its proper divisors (174336981120).

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

56268535680 is an frugal number, since it uses more digits than its factorization.

56268535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 56268535680 in words is "fifty-six billion, two hundred sixty-eight million, five hundred thirty-five thousand, six hundred eighty".