5715306000 has 320 divisors, whose sum is σ = 20682604800. Its totient is φ = 1508544000.

The previous prime is 5715305989. The next prime is 5715306019. The reversal of 5715306000 is 6035175.

5715306000 is a `hidden beast` number, since 5 + 7 + 1 + 53 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5885515 + ... + 5886485.

It is an arithmetic number, because the mean of its divisors is an integer number (64633140).

Almost surely, 2^5715306000 is an apocalyptic number.

5715306000 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 5715306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10341302400).

5715306000 is an abundant number, since it is smaller than the sum of its proper divisors (14967298800).

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

5715306000 is a wasteful number, since it uses less digits than its factorization.

5715306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5715306000 is about 75599.6428562993. The cubic root of 5715306000 is about 1787.9134681784.

The spelling of 5715306000 in words is "five billion, seven hundred fifteen million, three hundred six thousand".