56779519104 has 1152 divisors, whose sum is σ = 228266942400. Its totient is φ = 13795246080.

The previous prime is 56779519091. The next prime is 56779519109. The reversal of 56779519104 is 40191597765.

56779519104 is a `hidden beast` number, since 56 + 7 + 79 + 519 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56779519109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 348340527 + ... + 348340689.

Almost surely, 2^56779519104 is an apocalyptic number.

56779519104 is a gapful number since it is divisible by the number (54) 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 56779519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114133471200).

56779519104 is an abundant number, since it is smaller than the sum of its proper divisors (171487423296).

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

56779519104 is a wasteful number, since it uses less digits than its factorization.

56779519104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 56779519104 in words is "fifty-six billion, seven hundred seventy-nine million, five hundred nineteen thousand, one hundred four".