879139591200 has 2016 divisors, whose sum is σ = 3873070857600. Its totient is φ = 192416808960.

The previous prime is 879139591171. The next prime is 879139591249. The reversal of 879139591200 is 2195931978.

879139591200 is a `hidden beast` number, since 87 + 91 + 395 + 91 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2448856621 + ... + 2448856979.

It is an arithmetic number, because the mean of its divisors is an integer number (1921166100).

Almost surely, 2^879139591200 is an apocalyptic number.

879139591200 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 879139591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936535428800).

879139591200 is an abundant number, since it is smaller than the sum of its proper divisors (2993931266400).

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

879139591200 is a wasteful number, since it uses less digits than its factorization.

879139591200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 879139591200 in words is "eight hundred seventy-nine billion, one hundred thirty-nine million, five hundred ninety-one thousand, two hundred".