86072133708 has 192 divisors, whose sum is σ = 252097520640. Its totient is φ = 25375965120.

The previous prime is 86072133701. The next prime is 86072133731. The reversal of 86072133708 is 80733127068.

86072133708 is a `hidden beast` number, since 8 + 60 + 7 + 213 + 370 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (86072133701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5310585 + ... + 5326767.

It is an arithmetic number, because the mean of its divisors is an integer number (1313007920).

Almost surely, 2^86072133708 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 86072133708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126048760320).

86072133708 is an abundant number, since it is smaller than the sum of its proper divisors (166025386932).

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

86072133708 is a wasteful number, since it uses less digits than its factorization.

86072133708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16266 (or 16236 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 86072133708 in words is "eighty-six billion, seventy-two million, one hundred thirty-three thousand, seven hundred eight".