86585154832800 has 1584 divisors, whose sum is σ = 343357553319480. Its totient is φ = 21194604011520.

The previous prime is 86585154832789. The next prime is 86585154832919. The reversal of 86585154832800 is 823845158568.

It is a happy number.

86585154832800 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 5 + 1 + 548 + 3 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 183742537104 + 86401412295696 = 428652^2 + 9295236^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 170108358946 + ... + 170108359454.

Almost surely, 2^{86585154832800} is an apocalyptic number.

86585154832800 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 86585154832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171678776659740).

86585154832800 is an abundant number, since it is smaller than the sum of its proper divisors (256772398486680).

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

86585154832800 is a wasteful number, since it uses less digits than its factorization.

86585154832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 86585154832800 in words is "eighty-six trillion, five hundred eighty-five billion, one hundred fifty-four million, eight hundred thirty-two thousand, eight hundred".