872684832594960 has 1200 divisors, whose sum is σ = 3813446901027456. Its totient is φ = 181053480960000.

The previous prime is 872684832594959. The next prime is 872684832595031. The reversal of 872684832594960 is 69495238486278.

872684832594960 is a `hidden beast` number, since 8 + 7 + 2 + 6 + 8 + 48 + 32 + 59 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 872684832594960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3518042935 + ... + 3518290985.

Almost surely, 2^{872684832594960} is an apocalyptic number.

872684832594960 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 872684832594960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906723450513728).

872684832594960 is an abundant number, since it is smaller than the sum of its proper divisors (2940762068432496).

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

872684832594960 is a wasteful number, since it uses less digits than its factorization.

872684832594960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248746 (or 248720 counting only the distinct ones).

The product of its (nonzero) digits is 10032906240, while the sum is 81.

The spelling of 872684832594960 in words is "eight hundred seventy-two trillion, six hundred eighty-four billion, eight hundred thirty-two million, five hundred ninety-four thousand, nine hundred sixty".