5158755360 has 576 divisors, whose sum is σ = 20619930240. Its totient is φ = 1161216000.

The previous prime is 5158755347. The next prime is 5158755361. The reversal of 5158755360 is 635578515.

5158755360 is a `hidden beast` number, since 5 + 1 + 587 + 5 + 5 + 3 + 60 = 666.

It is a super-2 number, since 2×5158755360² = 53225513728657459200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5158755361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18358420 + ... + 18358700.

It is an arithmetic number, because the mean of its divisors is an integer number (35798490).

Almost surely, 2^5158755360 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 5158755360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309965120).

5158755360 is an abundant number, since it is smaller than the sum of its proper divisors (15461174880).

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

5158755360 is a wasteful number, since it uses less digits than its factorization.

5158755360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The square root of 5158755360 is about 71824.4760509953. The cubic root of 5158755360 is about 1727.8855698402.

The spelling of 5158755360 in words is "five billion, one hundred fifty-eight million, seven hundred fifty-five thousand, three hundred sixty".