86527460736 has 160 divisors (see below), whose sum is σ = 257693554800. Its totient is φ = 28821298176.

The previous prime is 86527460687. The next prime is 86527460749. The reversal of 86527460736 is 63706472568.

86527460736 is a `hidden beast` number, since 8 + 6 + 5 + 27 + 4 + 607 + 3 + 6 = 666.

It is a super-2 number, since 2×86527460736² (a number of 23 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 21138306 + ... + 21142398.

Almost surely, 2^86527460736 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 86527460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128846777400).

86527460736 is an abundant number, since it is smaller than the sum of its proper divisors (171166094064).

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

86527460736 is a wasteful number, since it uses less digits than its factorization.

86527460736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 86527460736 in words is "eighty-six billion, five hundred twenty-seven million, four hundred sixty thousand, seven hundred thirty-six".