870605259264 has 640 divisors, whose sum is σ = 2866251548160. Its totient is φ = 259183411200.

The previous prime is 870605259263. The next prime is 870605259311. The reversal of 870605259264 is 462952506078.

870605259264 is a `hidden beast` number, since 8 + 7 + 0 + 605 + 2 + 5 + 9 + 26 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 870605259264.

It is not an unprimeable number, because it can be changed into a prime (870605259263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2067945774 + ... + 2067946194.

It is an arithmetic number, because the mean of its divisors is an integer number (4478518044).

Almost surely, 2^870605259264 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 870605259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433125774080).

870605259264 is an abundant number, since it is smaller than the sum of its proper divisors (1995646288896).

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

870605259264 is a wasteful number, since it uses less digits than its factorization.

870605259264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 870605259264 in words is "eight hundred seventy billion, six hundred five million, two hundred fifty-nine thousand, two hundred sixty-four".