857953516560 has 960 divisors, whose sum is σ = 3371137447680. Its totient is φ = 179338199040.

The previous prime is 857953516531. The next prime is 857953516577. The reversal of 857953516560 is 65615359758.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 857953516494 and 857953516503.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1297962630 + ... + 1297963290.

It is an arithmetic number, because the mean of its divisors is an integer number (3511601508).

Almost surely, 2^857953516560 is an apocalyptic number.

857953516560 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 857953516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685568723840).

857953516560 is an abundant number, since it is smaller than the sum of its proper divisors (2513183931120).

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

857953516560 is a wasteful number, since it uses less digits than its factorization.

857953516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 60.

The spelling of 857953516560 in words is "eight hundred fifty-seven billion, nine hundred fifty-three million, five hundred sixteen thousand, five hundred sixty".