857157649920 has 1440 divisors, whose sum is σ = 3576531774816. Its totient is φ = 188413378560.

The previous prime is 857157649903. The next prime is 857157649939. The reversal of 857157649920 is 29946751758.

857157649920 is a `hidden beast` number, since 8 + 5 + 71 + 5 + 76 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2428208464 + ... + 2428208816.

Almost surely, 2^857157649920 is an apocalyptic number.

857157649920 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 857157649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788265887408).

857157649920 is an abundant number, since it is smaller than the sum of its proper divisors (2719374124896).

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

857157649920 is a wasteful number, since it uses less digits than its factorization.

857157649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 857157649920 in words is "eight hundred fifty-seven billion, one hundred fifty-seven million, six hundred forty-nine thousand, nine hundred twenty".