86931489600 has 672 divisors, whose sum is σ = 330178867200. Its totient is φ = 22224844800.

The previous prime is 86931489587. The next prime is 86931489647. The reversal of 86931489600 is 698413968.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186148567 + ... + 186149033.

It is an arithmetic number, because the mean of its divisors is an integer number (491337600).

Almost surely, 2^86931489600 is an apocalyptic number.

86931489600 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 86931489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165089433600).

86931489600 is an abundant number, since it is smaller than the sum of its proper divisors (243247377600).

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

86931489600 is a wasteful number, since it uses less digits than its factorization.

86931489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 86931489600 in words is "eighty-six billion, nine hundred thirty-one million, four hundred eighty-nine thousand, six hundred".