855392574960 has 1600 divisors, whose sum is σ = 4069488107520. Its totient is φ = 161026652160.

The previous prime is 855392574901. The next prime is 855392574989. The reversal of 855392574960 is 69475293558.

855392574960 is a `hidden beast` number, since 8 + 5 + 5 + 3 + 92 + 57 + 496 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 218043559 + ... + 218047481.

Almost surely, 2^855392574960 is an apocalyptic number.

855392574960 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 855392574960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034744053760).

855392574960 is an abundant number, since it is smaller than the sum of its proper divisors (3214095532560).

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

855392574960 is a wasteful number, since it uses less digits than its factorization.

855392574960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 855392574960 in words is "eight hundred fifty-five billion, three hundred ninety-two million, five hundred seventy-four thousand, nine hundred sixty".