86773642560 has 672 divisors, whose sum is σ = 338927846400. Its totient is φ = 20186726400.

The previous prime is 86773642517. The next prime is 86773642573. The reversal of 86773642560 is 6524637768.

86773642560 is a `hidden beast` number, since 8 + 6 + 7 + 7 + 36 + 42 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86773642497 and 86773642506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146329624 + ... + 146330216.

Almost surely, 2^86773642560 is an apocalyptic number.

86773642560 is a gapful number since it is divisible by the number (80) 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 86773642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169463923200).

86773642560 is an abundant number, since it is smaller than the sum of its proper divisors (252154203840).

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

86773642560 is a wasteful number, since it uses less digits than its factorization.

86773642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 86773642560 in words is "eighty-six billion, seven hundred seventy-three million, six hundred forty-two thousand, five hundred sixty".