5158056960 has 264 divisors, whose sum is σ = 20427029376. Its totient is φ = 1178910720.

The previous prime is 5158056931. The next prime is 5158056961. The reversal of 5158056960 is 696508515.

It is a happy number.

5158056960 is a `hidden beast` number, since 5 + 1 + 5 + 80 + 569 + 6 + 0 = 666.

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 (5158056961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314565 + ... + 330555.

Almost surely, 2^5158056960 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 5158056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10213514688).

5158056960 is an abundant number, since it is smaller than the sum of its proper divisors (15268972416).

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

5158056960 is a wasteful number, since it uses less digits than its factorization.

5158056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16029 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5158056960 is about 71819.6140340506. The cubic root of 5158056960 is about 1727.8075917454.

The spelling of 5158056960 in words is "five billion, one hundred fifty-eight million, fifty-six thousand, nine hundred sixty".