5059575360 has 1344 divisors, whose sum is σ = 23767084800. Its totient is φ = 1003290624.

The previous prime is 5059575347. The next prime is 5059575361. The reversal of 5059575360 is 635759505.

5059575360 is a `hidden beast` number, since 5 + 0 + 595 + 7 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5059575361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136745262 + ... + 136745298.

Almost surely, 2^5059575360 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 5059575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11883542400).

5059575360 is an abundant number, since it is smaller than the sum of its proper divisors (18707509440).

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

5059575360 is a wasteful number, since it uses less digits than its factorization.

5059575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 708750, while the sum is 45.

The square root of 5059575360 is about 71130.6921096653. The cubic root of 5059575360 is about 1716.7406456111.

The spelling of 5059575360 in words is "five billion, fifty-nine million, five hundred seventy-five thousand, three hundred sixty".