879183765504 has 672 divisors, whose sum is σ = 2887913456064. Its totient is φ = 255370199040.

The previous prime is 879183765491. The next prime is 879183765517. The reversal of 879183765504 is 405567381978.

879183765504 is a `hidden beast` number, since 8 + 7 + 9 + 1 + 8 + 3 + 76 + 550 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (879183765491) and next prime (879183765517).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2490605392 + ... + 2490605744.

It is an arithmetic number, because the mean of its divisors is an integer number (4297490262).

Almost surely, 2^879183765504 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 879183765504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443956728032).

879183765504 is an abundant number, since it is smaller than the sum of its proper divisors (2008729690560).

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

879183765504 is a wasteful number, since it uses less digits than its factorization.

879183765504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 879183765504 in words is "eight hundred seventy-nine billion, one hundred eighty-three million, seven hundred sixty-five thousand, five hundred four".