5815272960 has 960 divisors, whose sum is σ = 25694159040. Its totient is φ = 1238630400.

The previous prime is 5815272941. The next prime is 5815272971. The reversal of 5815272960 is 692725185.

5815272960 is a `hidden beast` number, since 581 + 5 + 2 + 7 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57576910 + ... + 57577010.

It is an arithmetic number, because the mean of its divisors is an integer number (26764749).

Almost surely, 2^5815272960 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 5815272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847079520).

5815272960 is an abundant number, since it is smaller than the sum of its proper divisors (19878886080).

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

5815272960 is a wasteful number, since it uses less digits than its factorization.

5815272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5815272960 is about 76257.9370295316. The cubic root of 5815272960 is about 1798.2774632298.

The spelling of 5815272960 in words is "five billion, eight hundred fifteen million, two hundred seventy-two thousand, nine hundred sixty".