8057008000 has 64 divisors (see below), whose sum is σ = 20031775920. Its totient is φ = 3222796800.

The previous prime is 8057007991. The next prime is 8057008021. The reversal of 8057008000 is 8007508.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 8057008000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235782 + ... + 267781.

Almost surely, 2^8057008000 is an apocalyptic number.

8057008000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8057008000 is an abundant number, since it is smaller than the sum of its proper divisors (11974767920).

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

8057008000 is an equidigital number, since it uses as much as digits as its factorization.

8057008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503592 (or 503570 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 8057008000 is about 89760.8377857515. The cubic root of 8057008000 is about 2004.7394267124.

The spelling of 8057008000 in words is "eight billion, fifty-seven million, eight thousand".