872175105383824 has 160 divisors (see below), whose sum is σ = 1873097885312640. Its totient is φ = 390116907417600.

The previous prime is 872175105383807. The next prime is 872175105383839. The reversal of 872175105383824 is 428383501571278.

872175105383824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41294203984 + ... + 41294225104.

It is an arithmetic number, because the mean of its divisors is an integer number (11706861783204).

Almost surely, 2^{872175105383824} 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 872175105383824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936548942656320).

872175105383824 is an abundant number, since it is smaller than the sum of its proper divisors (1000922779928816).

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

872175105383824 is a wasteful number, since it uses less digits than its factorization.

872175105383824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34929 (or 34923 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 64.

The spelling of 872175105383824 in words is "eight hundred seventy-two trillion, one hundred seventy-five billion, one hundred five million, three hundred eighty-three thousand, eight hundred twenty-four".