5657088000 has 416 divisors, whose sum is σ = 19626946560. Its totient is φ = 1445068800.

The previous prime is 5657087993. The next prime is 5657088001. The reversal of 5657088000 is 8807565.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5657088000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5657088001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44543937 + ... + 44544063.

It is an arithmetic number, because the mean of its divisors is an integer number (47180160).

Almost surely, 2^5657088000 is an apocalyptic number.

5657088000 is a gapful number since it is divisible by the number (50) 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 5657088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9813473280).

5657088000 is an abundant number, since it is smaller than the sum of its proper divisors (13969858560).

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

5657088000 is a wasteful number, since it uses less digits than its factorization.

5657088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 5657088000 is about 75213.6157886323. The cubic root of 5657088000 is about 1781.8219782081.

The spelling of 5657088000 in words is "five billion, six hundred fifty-seven million, eighty-eight thousand".