5715958560 has 288 divisors, whose sum is σ = 20134614528. Its totient is φ = 1361018880.

The previous prime is 5715958553. The next prime is 5715958607. The reversal of 5715958560 is 658595175.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2513584 + ... + 2515856.

It is an arithmetic number, because the mean of its divisors is an integer number (69911856).

Almost surely, 2^5715958560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5715958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067307264).

5715958560 is an abundant number, since it is smaller than the sum of its proper divisors (14418655968).

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

5715958560 is a wasteful number, since it uses less digits than its factorization.

5715958560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 51.

The square root of 5715958560 is about 75603.9586265164. The cubic root of 5715958560 is about 1787.9815121531.

The spelling of 5715958560 in words is "five billion, seven hundred fifteen million, nine hundred fifty-eight thousand, five hundred sixty".