872914223301120 has 7680 divisors, whose sum is σ = 4474386900910080. Its totient is φ = 156597210316800.

The previous prime is 872914223301037. The next prime is 872914223301149. The reversal of 872914223301120 is 21103322419278.

872914223301120 is a `hidden beast` number, since 8 + 7 + 291 + 4 + 2 + 2 + 330 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 822727825390 + ... + 822727826450.

It is an arithmetic number, because the mean of its divisors is an integer number (582602461056).

Almost surely, 2^{872914223301120} is an apocalyptic number.

872914223301120 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 872914223301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237193450455040).

872914223301120 is an abundant number, since it is smaller than the sum of its proper divisors (3601472677608960).

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

872914223301120 is a wasteful number, since it uses less digits than its factorization.

872914223301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 872914223301120 in words is "eight hundred seventy-two trillion, nine hundred fourteen billion, two hundred twenty-three million, three hundred one thousand, one hundred twenty".