56876404677120 has 1600 divisors, whose sum is σ = 254465589159936. Its totient is φ = 11840740392960.

The previous prime is 56876404677119. The next prime is 56876404677221. The reversal of 56876404677120 is 2177640467865.

56876404677120 is a `hidden beast` number, since 5 + 6 + 8 + 7 + 6 + 40 + 467 + 7 + 120 = 666.

It is a super-2 number, since 2×56876404677120² (a number of 28 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 764913864 + ... + 764988216.

Almost surely, 2^{56876404677120} 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 56876404677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127232794579968).

56876404677120 is an abundant number, since it is smaller than the sum of its proper divisors (197589184482816).

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

56876404677120 is a wasteful number, since it uses less digits than its factorization.

56876404677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74443 (or 74418 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 56876404677120 in words is "fifty-six trillion, eight hundred seventy-six billion, four hundred four million, six hundred seventy-seven thousand, one hundred twenty".