870458393952 has 768 divisors, whose sum is σ = 3091582771200. Its totient is φ = 233003796480.

The previous prime is 870458393933. The next prime is 870458393969. The reversal of 870458393952 is 259393854078.

870458393952 is a `hidden beast` number, since 8 + 7 + 0 + 458 + 3 + 93 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 870458393952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1591331343 + ... + 1591331889.

It is an arithmetic number, because the mean of its divisors is an integer number (4025498400).

Almost surely, 2^870458393952 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 870458393952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545791385600).

870458393952 is an abundant number, since it is smaller than the sum of its proper divisors (2221124377248).

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

870458393952 is a wasteful number, since it uses less digits than its factorization.

870458393952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 870458393952 in words is "eight hundred seventy billion, four hundred fifty-eight million, three hundred ninety-three thousand, nine hundred fifty-two".