879143492440512 has 1008 divisors, whose sum is σ = 3065186756136960. Its totient is φ = 239293676224512.

The previous prime is 879143492440463. The next prime is 879143492440559. The reversal of 879143492440512 is 215044294341978.

It is a happy number.

879143492440512 is a `hidden beast` number, since 8 + 7 + 9 + 14 + 3 + 49 + 24 + 40 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 879143492440512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3993038143 + ... + 3993258305.

It is an arithmetic number, because the mean of its divisors is an integer number (3040859877120).

Almost surely, 2^{879143492440512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879143492440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532593378068480).

879143492440512 is an abundant number, since it is smaller than the sum of its proper divisors (2186043263696448).

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

879143492440512 is a wasteful number, since it uses less digits than its factorization.

879143492440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220370 (or 220344 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 879143492440512 in words is "eight hundred seventy-nine trillion, one hundred forty-three billion, four hundred ninety-two million, four hundred forty thousand, five hundred twelve".