56279358576 has 400 divisors, whose sum is σ = 198484915200. Its totient is φ = 15037042176.

The previous prime is 56279358533. The next prime is 56279358587. The reversal of 56279358576 is 67585397265.

56279358576 is a `hidden beast` number, since 5 + 6 + 2 + 7 + 9 + 3 + 58 + 576 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13615006 + ... + 13619138.

It is an arithmetic number, because the mean of its divisors is an integer number (496212288).

Almost surely, 2^56279358576 is an apocalyptic number.

56279358576 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 56279358576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99242457600).

56279358576 is an abundant number, since it is smaller than the sum of its proper divisors (142205556624).

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

56279358576 is a wasteful number, since it uses less digits than its factorization.

56279358576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258 (or 4243 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 56279358576 in words is "fifty-six billion, two hundred seventy-nine million, three hundred fifty-eight thousand, five hundred seventy-six".