77825711865096 has 192 divisors, whose sum is σ = 244878907356720. Its totient is φ = 22112521666560.

The previous prime is 77825711865073. The next prime is 77825711865103. The reversal of 77825711865096 is 69056811752877.

77825711865096 is a `hidden beast` number, since 7 + 7 + 8 + 25 + 7 + 11 + 86 + 509 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48114338602500 + 29711373262596 = 6936450^2 + 5450814^2 .

It is a super-3 number, since 3×77825711865096³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 45298245 + ... + 46984916.

Almost surely, 2^{77825711865096} is an apocalyptic number.

It is an amenable number.

77825711865096 is an abundant number, since it is smaller than the sum of its proper divisors (167053195491624).

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

77825711865096 is a wasteful number, since it uses less digits than its factorization.

77825711865096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92283256 (or 92283249 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 72.

The spelling of 77825711865096 in words is "seventy-seven trillion, eight hundred twenty-five billion, seven hundred eleven million, eight hundred sixty-five thousand, ninety-six".