8057500920 has 192 divisors, whose sum is σ = 31036561920. Its totient is φ = 1841698944.

The previous prime is 8057500877. The next prime is 8057500939. The reversal of 8057500920 is 290057508.

8057500920 is a `hidden beast` number, since 80 + 57 + 500 + 9 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8829 + ... + 127251.

It is an arithmetic number, because the mean of its divisors is an integer number (161648760).

Almost surely, 2^8057500920 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 8057500920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518280960).

8057500920 is an abundant number, since it is smaller than the sum of its proper divisors (22979061000).

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

8057500920 is a wasteful number, since it uses less digits than its factorization.

8057500920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118456 (or 118440 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 8057500920 is about 89763.5834846181. The cubic root of 8057500920 is about 2004.7803085553.

The spelling of 8057500920 in words is "eight billion, fifty-seven million, five hundred thousand, nine hundred twenty".