5156944560 has 480 divisors, whose sum is σ = 19251535680. Its totient is φ = 1231552512.

The previous prime is 5156944553. The next prime is 5156944579. The reversal of 5156944560 is 654496515.

5156944560 is a `hidden beast` number, since 515 + 6 + 94 + 45 + 6 + 0 = 666.

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

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, 26719824 + ... + 26720016.

It is an arithmetic number, because the mean of its divisors is an integer number (40107366).

Almost surely, 2^5156944560 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 5156944560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625767840).

5156944560 is an abundant number, since it is smaller than the sum of its proper divisors (14094591120).

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

5156944560 is a wasteful number, since it uses less digits than its factorization.

5156944560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5156944560 is about 71811.8692139398. The cubic root of 5156944560 is about 1727.6833749867.

The spelling of 5156944560 in words is "five billion, one hundred fifty-six million, nine hundred forty-four thousand, five hundred sixty".