5715309600 has 1296 divisors, whose sum is σ = 27654105024. Its totient is φ = 1078272000.

The previous prime is 5715309581. The next prime is 5715309619. The reversal of 5715309600 is 69035175.

It is a happy number.

5715309600 is a `hidden beast` number, since 5 + 7 + 15 + 30 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5715309581) and next prime (5715309619).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 93693570 + ... + 93693630.

It is an arithmetic number, because the mean of its divisors is an integer number (21338044).

Almost surely, 2^5715309600 is an apocalyptic number.

5715309600 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 5715309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827052512).

5715309600 is an abundant number, since it is smaller than the sum of its proper divisors (21938795424).

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

5715309600 is a wasteful number, since it uses less digits than its factorization.

5715309600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5715309600 is about 75599.6666659318. Note that the first 5 decimals coincide. The cubic root of 5715309600 is about 1787.9138435731.

The spelling of 5715309600 in words is "five billion, seven hundred fifteen million, three hundred nine thousand, six hundred".