87013033632 has 72 divisors (see below), whose sum is σ = 282792365856. Its totient is φ = 24860866176.

The previous prime is 87013033621. The next prime is 87013033637. The reversal of 87013033632 is 23633031078.

It is a happy number.

87013033632 is a `hidden beast` number, since 8 + 7 + 0 + 13 + 0 + 3 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×87013033632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87013033637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21578598 + ... + 21582629.

It is an arithmetic number, because the mean of its divisors is an integer number (3927671748).

Almost surely, 2^87013033632 is an apocalyptic number.

It is an amenable number.

87013033632 is an abundant number, since it is smaller than the sum of its proper divisors (195779332224).

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

87013033632 is a wasteful number, since it uses less digits than its factorization.

87013033632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43161250 (or 43161239 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 87013033632 in words is "eighty-seven billion, thirteen million, thirty-three thousand, six hundred thirty-two".