872810935920 has 2880 divisors, whose sum is σ = 4304649484800. Its totient is φ = 160944537600.

The previous prime is 872810935907. The next prime is 872810936017. The reversal of 872810935920 is 29539018278.

872810935920 is a `hidden beast` number, since 8 + 7 + 281 + 0 + 9 + 359 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 4136544615 + ... + 4136544825.

It is an arithmetic number, because the mean of its divisors is an integer number (1494669960).

Almost surely, 2^872810935920 is an apocalyptic number.

872810935920 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 872810935920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152324742400).

872810935920 is an abundant number, since it is smaller than the sum of its proper divisors (3431838548880).

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

872810935920 is a wasteful number, since it uses less digits than its factorization.

872810935920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 872810935920 in words is "eight hundred seventy-two billion, eight hundred ten million, nine hundred thirty-five thousand, nine hundred twenty".