879552255978 has 192 divisors, whose sum is σ = 2162177297280. Its totient is φ = 256056768000.

The previous prime is 879552255977. The next prime is 879552255991.

It is a happy number.

879552255978 is a `hidden beast` number, since 8 + 7 + 9 + 5 + 5 + 2 + 25 + 597 + 8 = 666.

879552255978 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×879552255978² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (879552255971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310027576 + ... + 310030412.

It is an arithmetic number, because the mean of its divisors is an integer number (11261340090).

Almost surely, 2^879552255978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879552255978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081088648640).

879552255978 is an abundant number, since it is smaller than the sum of its proper divisors (1282625041302).

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

879552255978 is a wasteful number, since it uses less digits than its factorization.

879552255978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3410 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 72.

The spelling of 879552255978 in words is "eight hundred seventy-nine billion, five hundred fifty-two million, two hundred fifty-five thousand, nine hundred seventy-eight".