86807064960 has 1152 divisors, whose sum is σ = 391091500800. Its totient is φ = 18010460160.

The previous prime is 86807064959. The next prime is 86807064973. The reversal of 86807064960 is 6946070868.

86807064960 is a `hidden beast` number, since 8 + 6 + 80 + 70 + 6 + 496 + 0 = 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 a junction number, because it is equal to n+sod(n) for n = 86807064897 and 86807064906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131725111 + ... + 131725769.

It is an arithmetic number, because the mean of its divisors is an integer number (339489150).

Almost surely, 2^86807064960 is an apocalyptic number.

86807064960 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 86807064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195545750400).

86807064960 is an abundant number, since it is smaller than the sum of its proper divisors (304284435840).

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

86807064960 is a wasteful number, since it uses less digits than its factorization.

86807064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 86807064960 in words is "eighty-six billion, eight hundred seven million, sixty-four thousand, nine hundred sixty".