86591301696 has 315 divisors, whose sum is σ = 264913726077. Its totient is φ = 27966850560.

The previous prime is 86591301661. The next prime is 86591301701. The reversal of 86591301696 is 69610319568.

The square root of 86591301696 is 294264.

It is a perfect power (a square), and thus also a powerful number.

86591301696 is a `hidden beast` number, since 8 + 6 + 591 + 30 + 16 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2815788096 + 83775513600 = 53064^2 + 289440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1292407455 + ... + 1292407521.

Almost surely, 2^86591301696 is an apocalyptic number.

86591301696 is the 294264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86591301696

86591301696 is an abundant number, since it is smaller than the sum of its proper divisors (178322424381).

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

86591301696 is an frugal number, since it uses more digits than its factorization.

86591301696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 86591301696 in words is "eighty-six billion, five hundred ninety-one million, three hundred one thousand, six hundred ninety-six".