874434591120 has 160 divisors (see below), whose sum is σ = 2722773409920. Its totient is φ = 232150302720.

The previous prime is 874434591097. The next prime is 874434591137. The reversal of 874434591120 is 21195434478.

874434591120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 874434591120.

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, 52475590 + ... + 52492250.

It is an arithmetic number, because the mean of its divisors is an integer number (17017333812).

Almost surely, 2^874434591120 is an apocalyptic number.

874434591120 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 874434591120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361386704960).

874434591120 is an abundant number, since it is smaller than the sum of its proper divisors (1848338818800).

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

874434591120 is a wasteful number, since it uses less digits than its factorization.

874434591120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17633 (or 17627 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 874434591120 in words is "eight hundred seventy-four billion, four hundred thirty-four million, five hundred ninety-one thousand, one hundred twenty".