86737872832 has 112 divisors (see below), whose sum is σ = 189570189312. Its totient is φ = 39126113280.

The previous prime is 86737872811. The next prime is 86737872841. The reversal of 86737872832 is 23827873768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43130707 + ... + 43132717.

It is an arithmetic number, because the mean of its divisors is an integer number (1692590976).

Almost surely, 2^86737872832 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 86737872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94785094656).

86737872832 is an abundant number, since it is smaller than the sum of its proper divisors (102832316480).

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

86737872832 is a wasteful number, since it uses less digits than its factorization.

86737872832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3176 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 61.

The spelling of 86737872832 in words is "eighty-six billion, seven hundred thirty-seven million, eight hundred seventy-two thousand, eight hundred thirty-two".