857479252896 has 240 divisors, whose sum is σ = 2922680154240. Its totient is φ = 241543088640.

The previous prime is 857479252823. The next prime is 857479252897. The reversal of 857479252896 is 698252974758.

857479252896 is a `hidden beast` number, since 8 + 5 + 7 + 4 + 7 + 9 + 2 + 528 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (857479252897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 955410 + ... + 1621038.

It is an arithmetic number, because the mean of its divisors is an integer number (12177833976).

Almost surely, 2^857479252896 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 857479252896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461340077120).

857479252896 is an abundant number, since it is smaller than the sum of its proper divisors (2065200901344).

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

857479252896 is a wasteful number, since it uses less digits than its factorization.

857479252896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665729 (or 665712 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 857479252896 in words is "eight hundred fifty-seven billion, four hundred seventy-nine million, two hundred fifty-two thousand, eight hundred ninety-six".