872889937920 has 3328 divisors, whose sum is σ = 4438709452800. Its totient is φ = 156704440320.

The previous prime is 872889937897. The next prime is 872889937961. The reversal of 872889937920 is 29739988278.

872889937920 is a `hidden beast` number, since 8 + 72 + 88 + 99 + 379 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10516746199 + ... + 10516746281.

Almost surely, 2^872889937920 is an apocalyptic number.

872889937920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872889937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219354726400).

872889937920 is an abundant number, since it is smaller than the sum of its proper divisors (3565819514880).

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

872889937920 is a wasteful number, since it uses less digits than its factorization.

872889937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 872889937920 in words is "eight hundred seventy-two billion, eight hundred eighty-nine million, nine hundred thirty-seven thousand, nine hundred twenty".