56879940096 has 480 divisors, whose sum is σ = 197660295360. Its totient is φ = 16102195200.

The previous prime is 56879940071. The next prime is 56879940151. The reversal of 56879940096 is 69004997865.

It is a happy number.

56879940096 is a `hidden beast` number, since 56 + 8 + 7 + 99 + 400 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88735936 + ... + 88736576.

It is an arithmetic number, because the mean of its divisors is an integer number (411792282).

Almost surely, 2^56879940096 is an apocalyptic number.

56879940096 is a gapful number since it is divisible by the number (56) 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 56879940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98830147680).

56879940096 is an abundant number, since it is smaller than the sum of its proper divisors (140780355264).

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

56879940096 is a wasteful number, since it uses less digits than its factorization.

56879940096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 56879940096 in words is "fifty-six billion, eight hundred seventy-nine million, nine hundred forty thousand, ninety-six".