5657115600 has 480 divisors, whose sum is σ = 21201658880. Its totient is φ = 1430784000.

The previous prime is 5657115599. The next prime is 5657115601. The reversal of 5657115600 is 65117565.

It is an interprime number because it is at equal distance from previous prime (5657115599) and next prime (5657115601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5657115601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20422662 + ... + 20422938.

Almost surely, 2^5657115600 is an apocalyptic number.

5657115600 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 5657115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600829440).

5657115600 is an abundant number, since it is smaller than the sum of its proper divisors (15544543280).

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

5657115600 is a wasteful number, since it uses less digits than its factorization.

5657115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 5657115600 is about 75213.7992658262. The cubic root of 5657115600 is about 1781.8248759419.

The spelling of 5657115600 in words is "five billion, six hundred fifty-seven million, one hundred fifteen thousand, six hundred".