879053160960 has 1120 divisors, whose sum is σ = 3584127476160. Its totient is φ = 204886278144.

The previous prime is 879053160917. The next prime is 879053160989. The reversal of 879053160960 is 69061350978.

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

It is a junction number, because it is equal to n+sod(n) for n = 879053160897 and 879053160906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 460960327 + ... + 460962233.

It is an arithmetic number, because the mean of its divisors is an integer number (3200113818).

Almost surely, 2^879053160960 is an apocalyptic number.

879053160960 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 879053160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792063738080).

879053160960 is an abundant number, since it is smaller than the sum of its proper divisors (2705074315200).

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

879053160960 is a wasteful number, since it uses less digits than its factorization.

879053160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 879053160960 in words is "eight hundred seventy-nine billion, fifty-three million, one hundred sixty thousand, nine hundred sixty".