56277878160 has 320 divisors, whose sum is σ = 201889221120. Its totient is φ = 12702842880.

The previous prime is 56277878149. The next prime is 56277878171. The reversal of 56277878160 is 6187877265.

It is an interprime number because it is at equal distance from previous prime (56277878149) and next prime (56277878171).

It is a self number, because there is not a number n which added to its sum of digits gives 56277878160.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98906356 + ... + 98906924.

It is an arithmetic number, because the mean of its divisors is an integer number (630903816).

Almost surely, 2^56277878160 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 56277878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100944610560).

56277878160 is an abundant number, since it is smaller than the sum of its proper divisors (145611342960).

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

56277878160 is a wasteful number, since it uses less digits than its factorization.

56277878160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 56277878160 in words is "fifty-six billion, two hundred seventy-seven million, eight hundred seventy-eight thousand, one hundred sixty".