870595251120 has 1600 divisors, whose sum is σ = 3852946538496. Its totient is φ = 177513431040.

The previous prime is 870595251017. The next prime is 870595251139. The reversal of 870595251120 is 21152595078.

870595251120 is a `hidden beast` number, since 8 + 7 + 0 + 5 + 9 + 525 + 112 + 0 = 666.

It is a super-2 number, since 2×870595251120² (a number of 25 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 3387530032 + ... + 3387530288.

Almost surely, 2^870595251120 is an apocalyptic number.

870595251120 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 870595251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926473269248).

870595251120 is an abundant number, since it is smaller than the sum of its proper divisors (2982351287376).

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

870595251120 is a wasteful number, since it uses less digits than its factorization.

870595251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 870595251120 in words is "eight hundred seventy billion, five hundred ninety-five million, two hundred fifty-one thousand, one hundred twenty".