86552832102 has 144 divisors (see below), whose sum is σ = 198319036608. Its totient is φ = 25161708000.

The previous prime is 86552832097. The next prime is 86552832193. The reversal of 86552832102 is 20123825568.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91396393 + ... + 91397339.

It is an arithmetic number, because the mean of its divisors is an integer number (1377215532).

Almost surely, 2^86552832102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86552832102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99159518304).

86552832102 is an abundant number, since it is smaller than the sum of its proper divisors (111766204506).

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

86552832102 is a wasteful number, since it uses less digits than its factorization.

86552832102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 86552832102 in words is "eighty-six billion, five hundred fifty-two million, eight hundred thirty-two thousand, one hundred two".