870578565120 has 1872 divisors, whose sum is σ = 3714399636480. Its totient is φ = 193491763200.

The previous prime is 870578565113. The next prime is 870578565121. The reversal of 870578565120 is 21565875078.

870578565120 is a `hidden beast` number, since 8 + 7 + 0 + 5 + 78 + 56 + 512 + 0 = 666.

It is a super-2 number, since 2×870578565120² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (870578565121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28083179505 + ... + 28083179535.

It is an arithmetic number, because the mean of its divisors is an integer number (1984187840).

Almost surely, 2^870578565120 is an apocalyptic number.

870578565120 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 870578565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857199818240).

870578565120 is an abundant number, since it is smaller than the sum of its proper divisors (2843821071360).

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

870578565120 is an equidigital number, since it uses as much as digits as its factorization.

870578565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 870578565120 in words is "eight hundred seventy billion, five hundred seventy-eight million, five hundred sixty-five thousand, one hundred twenty".