5715259200 has 756 divisors, whose sum is σ = 24394911840. Its totient is φ = 1242777600.

The previous prime is 5715259157. The next prime is 5715259217. The reversal of 5715259200 is 29525175.

5715259200 is a `hidden beast` number, since 57 + 15 + 2 + 592 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 96868771 + ... + 96868829.

Almost surely, 2^5715259200 is an apocalyptic number.

5715259200 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 5715259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12197455920).

5715259200 is an abundant number, since it is smaller than the sum of its proper divisors (18679652640).

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

5715259200 is a wasteful number, since it uses less digits than its factorization.

5715259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 107 counting only the distinct ones).

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

The square root of 5715259200 is about 75599.3333303939. Note that the first 5 decimals coincide. The cubic root of 5715259200 is about 1787.9085880327.

The spelling of 5715259200 in words is "five billion, seven hundred fifteen million, two hundred fifty-nine thousand, two hundred".