870560589600 has 1440 divisors, whose sum is σ = 3639220200000. Its totient is φ = 200747704320.

The previous prime is 870560589589. The next prime is 870560589653. The reversal of 870560589600 is 6985065078.

870560589600 is a `hidden beast` number, since 8 + 7 + 0 + 56 + 0 + 589 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1744610151 + ... + 1744610649.

It is an arithmetic number, because the mean of its divisors is an integer number (2527236250).

Almost surely, 2^870560589600 is an apocalyptic number.

870560589600 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 870560589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819610100000).

870560589600 is an abundant number, since it is smaller than the sum of its proper divisors (2768659610400).

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

870560589600 is a wasteful number, since it uses less digits than its factorization.

870560589600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 870560589600 in words is "eight hundred seventy billion, five hundred sixty million, five hundred eighty-nine thousand, six hundred".