86136393728 has 208 divisors, whose sum is σ = 218849890176. Its totient is φ = 32920043520.

The previous prime is 86136393709. The next prime is 86136393779. The reversal of 86136393728 is 82739363168.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16713200 + ... + 16718352.

Almost surely, 2^86136393728 is an apocalyptic number.

86136393728 is a gapful number since it is divisible by the number (88) 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 86136393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109424945088).

86136393728 is an abundant number, since it is smaller than the sum of its proper divisors (132713496448).

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

86136393728 is a wasteful number, since it uses less digits than its factorization.

86136393728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248 (or 5226 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 56.

The spelling of 86136393728 in words is "eighty-six billion, one hundred thirty-six million, three hundred ninety-three thousand, seven hundred twenty-eight".