5715168000 has 288 divisors, whose sum is σ = 19508099520. Its totient is φ = 1481932800.

The previous prime is 5715167999. The next prime is 5715168007. The reversal of 5715168000 is 8615175.

It is not an unprimeable number, because it can be changed into a prime (5715168007) 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, 3551196 + ... + 3552804.

Almost surely, 2^5715168000 is an apocalyptic number.

5715168000 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 5715168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754049760).

5715168000 is an abundant number, since it is smaller than the sum of its proper divisors (13792931520).

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

5715168000 is a wasteful number, since it uses less digits than its factorization.

5715168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 5715168000 is about 75598.7301480653. The cubic root of 5715168000 is about 1787.8990779285.

The spelling of 5715168000 in words is "five billion, seven hundred fifteen million, one hundred sixty-eight thousand".