56267617920 has 256 divisors, whose sum is σ = 183776256000. Its totient is φ = 14636814336.

The previous prime is 56267617853. The next prime is 56267617927. The reversal of 56267617920 is 2971676265.

56267617920 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 2×56267617920² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56267617927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33117231 + ... + 33118929.

It is an arithmetic number, because the mean of its divisors is an integer number (717876000).

Almost surely, 2^56267617920 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 56267617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91888128000).

56267617920 is an abundant number, since it is smaller than the sum of its proper divisors (127508638080).

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

56267617920 is a wasteful number, since it uses less digits than its factorization.

56267617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 56267617920 in words is "fifty-six billion, two hundred sixty-seven million, six hundred seventeen thousand, nine hundred twenty".