857128563072 has 320 divisors, whose sum is σ = 2666805055200. Its totient is φ = 272763887616.

The previous prime is 857128563041. The next prime is 857128563107. The reversal of 857128563072 is 270365821758.

857128563072 is a `hidden beast` number, since 8 + 5 + 7 + 1 + 2 + 8 + 563 + 0 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135682858 + ... + 135689174.

Almost surely, 2^857128563072 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 857128563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333402527600).

857128563072 is an abundant number, since it is smaller than the sum of its proper divisors (1809676492128).

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

857128563072 is a wasteful number, since it uses less digits than its factorization.

857128563072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6914 counting only the distinct ones).

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

The spelling of 857128563072 in words is "eight hundred fifty-seven billion, one hundred twenty-eight million, five hundred sixty-three thousand, seventy-two".