86610585600 has 864 divisors, whose sum is σ = 386879613120. Its totient is φ = 17989632000.

The previous prime is 86610585557. The next prime is 86610585713. The reversal of 86610585600 is 658501668.

86610585600 is a `hidden beast` number, since 8 + 6 + 6 + 1 + 0 + 585 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35480380 + ... + 35482820.

It is an arithmetic number, because the mean of its divisors is an integer number (447777330).

Almost surely, 2^86610585600 is an apocalyptic number.

86610585600 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 86610585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193439806560).

86610585600 is an abundant number, since it is smaller than the sum of its proper divisors (300269027520).

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

86610585600 is a wasteful number, since it uses less digits than its factorization.

86610585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 86610585600 in words is "eighty-six billion, six hundred ten million, five hundred eighty-five thousand, six hundred".