55777397760 has 528 divisors, whose sum is σ = 225448392000. Its totient is φ = 12745506816.

The previous prime is 55777397759. The next prime is 55777397771. The reversal of 55777397760 is 6779377755.

55777397760 is a `hidden beast` number, since 557 + 7 + 7 + 3 + 9 + 7 + 76 + 0 = 666.

It is a super-2 number, since 2×55777397760² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 15803676 + ... + 15807204.

Almost surely, 2^55777397760 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 55777397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112724196000).

55777397760 is an abundant number, since it is smaller than the sum of its proper divisors (169670994240).

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

55777397760 is a wasteful number, since it uses less digits than its factorization.

55777397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 68068350, while the sum is 63.

The spelling of 55777397760 in words is "fifty-five billion, seven hundred seventy-seven million, three hundred ninety-seven thousand, seven hundred sixty".