86135233536 has 528 divisors, whose sum is σ = 288318476160. Its totient is φ = 24493916160.

The previous prime is 86135233523. The next prime is 86135233559. The reversal of 86135233536 is 63533253168.

86135233536 is a `hidden beast` number, since 8 + 61 + 3 + 52 + 3 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1166400) is a multiple of the sum of its prime factors (480).

It is a junction number, because it is equal to n+sod(n) for n = 86135233491 and 86135233500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379450255 + ... + 379450481.

It is an arithmetic number, because the mean of its divisors is an integer number (546057720).

Almost surely, 2^86135233536 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 86135233536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144159238080).

86135233536 is an abundant number, since it is smaller than the sum of its proper divisors (202183242624).

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

86135233536 is a wasteful number, since it uses less digits than its factorization.

86135233536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 459 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 86135233536 in words is "eighty-six billion, one hundred thirty-five million, two hundred thirty-three thousand, five hundred thirty-six".