56777415120 has 240 divisors, whose sum is σ = 198747374592. Its totient is φ = 14509393920.

The previous prime is 56777415109. The next prime is 56777415127. The reversal of 56777415120 is 2151477765.

56777415120 is a `hidden beast` number, since 5 + 67 + 7 + 74 + 1 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×56777415120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56777415127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2286612 + ... + 2311308.

Almost surely, 2^56777415120 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 56777415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99373687296).

56777415120 is an abundant number, since it is smaller than the sum of its proper divisors (141969959472).

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

56777415120 is a wasteful number, since it uses less digits than its factorization.

56777415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24850 (or 24841 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 56777415120 in words is "fifty-six billion, seven hundred seventy-seven million, four hundred fifteen thousand, one hundred twenty".