87839971183200 has 72 divisors (see below), whose sum is σ = 285919106209128. Its totient is φ = 23423992314880.

The previous prime is 87839971183127. The next prime is 87839971183247. The reversal of 87839971183200 is 238117993878.

87839971183200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18299991597 + ... + 18299996396.

It is an arithmetic number, because the mean of its divisors is an integer number (3971098697349).

Almost surely, 2^{87839971183200} is an apocalyptic number.

87839971183200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87839971183200 is an abundant number, since it is smaller than the sum of its proper divisors (198079135025928).

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

87839971183200 is a wasteful number, since it uses less digits than its factorization.

87839971183200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36599988016 (or 36599988003 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 66.

The spelling of 87839971183200 in words is "eighty-seven trillion, eight hundred thirty-nine billion, nine hundred seventy-one million, one hundred eighty-three thousand, two hundred".