870125675328 has 1568 divisors, whose sum is σ = 3402890588160. Its totient is φ = 214453370880.

The previous prime is 870125675273. The next prime is 870125675329. The reversal of 870125675328 is 823576521078.

870125675328 is a `hidden beast` number, since 8 + 7 + 0 + 1 + 2 + 567 + 53 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870125675329) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4555631713 + ... + 4555631903.

Almost surely, 2^870125675328 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 870125675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701445294080).

870125675328 is an abundant number, since it is smaller than the sum of its proper divisors (2532764912832).

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

870125675328 is a wasteful number, since it uses less digits than its factorization.

870125675328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 870125675328 in words is "eight hundred seventy billion, one hundred twenty-five million, six hundred seventy-five thousand, three hundred twenty-eight".