879100596000 has 1152 divisors, whose sum is σ = 3510341452800. Its totient is φ = 206527488000.

The previous prime is 879100595987. The next prime is 879100596061. The reversal of 879100596000 is 695001978.

879100596000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2773187842 + ... + 2773188158.

It is an arithmetic number, because the mean of its divisors is an integer number (3047171400).

Almost surely, 2^879100596000 is an apocalyptic number.

879100596000 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 879100596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755170726400).

879100596000 is an abundant number, since it is smaller than the sum of its proper divisors (2631240856800).

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

879100596000 is a wasteful number, since it uses less digits than its factorization.

879100596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

Adding to 879100596000 its reverse (695001978), we get a palindrome (879795597978).

The spelling of 879100596000 in words is "eight hundred seventy-nine billion, one hundred million, five hundred ninety-six thousand".