879869952000 has 1728 divisors, whose sum is σ = 3751153084224. Its totient is φ = 203843174400.

The previous prime is 879869951963. The next prime is 879869952037. The reversal of 879869952000 is 259968978.

It is an interprime number because it is at equal distance from previous prime (879869951963) and next prime (879869952037).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×879869952000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51757055992 + ... + 51757056008.

It is an arithmetic number, because the mean of its divisors is an integer number (2170806183).

Almost surely, 2^879869952000 is an apocalyptic number.

879869952000 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 879869952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875576542112).

879869952000 is an abundant number, since it is smaller than the sum of its proper divisors (2871283132224).

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

879869952000 is an frugal number, since it uses more digits than its factorization.

879869952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 879869952000 in words is "eight hundred seventy-nine billion, eight hundred sixty-nine million, nine hundred fifty-two thousand".