86691513600 has 756 divisors, whose sum is σ = 340951482396. Its totient is φ = 21737963520.

The previous prime is 86691513599. The next prime is 86691513673. The reversal of 86691513600 is 631519668.

86691513600 is a `hidden beast` number, since 86 + 69 + 151 + 360 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9532007424 + 77159506176 = 97632^2 + 277776^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 79314654 + ... + 79315746.

Almost surely, 2^86691513600 is an apocalyptic number.

86691513600 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 86691513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170475741198).

86691513600 is an abundant number, since it is smaller than the sum of its proper divisors (254259968796).

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

86691513600 is a wasteful number, since it uses less digits than its factorization.

86691513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 86691513600 in words is "eighty-six billion, six hundred ninety-one million, five hundred thirteen thousand, six hundred".