86739013824 has 112 divisors (see below), whose sum is σ = 242410122240. Its totient is φ = 27329541120.

The previous prime is 86739013819. The next prime is 86739013831. The reversal of 86739013824 is 42831093768.

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 15 ways as a sum of consecutive naturals, for example, 86482 + ... + 425390.

Almost surely, 2^86739013824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86739013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121205061120).

86739013824 is an abundant number, since it is smaller than the sum of its proper divisors (155671108416).

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

86739013824 is a wasteful number, since it uses less digits than its factorization.

86739013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338998 (or 338988 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 86739013824 in words is "eighty-six billion, seven hundred thirty-nine million, thirteen thousand, eight hundred twenty-four".