879964058688000 has 640 divisors, whose sum is σ = 3437139720478464. Its totient is φ = 196915027968000.

The previous prime is 879964058687983. The next prime is 879964058688083. The reversal of 879964058688000 is 886850469978.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 879964058687898 and 879964058687907.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11431014 + ... + 43480986.

Almost surely, 2^{879964058688000} is an apocalyptic number.

879964058688000 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 879964058688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718569860239232).

879964058688000 is an abundant number, since it is smaller than the sum of its proper divisors (2557175661790464).

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

879964058688000 is a wasteful number, since it uses less digits than its factorization.

879964058688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32050033 (or 32050007 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 78.

The spelling of 879964058688000 in words is "eight hundred seventy-nine trillion, nine hundred sixty-four billion, fifty-eight million, six hundred eighty-eight thousand".