5137518960 has 400 divisors, whose sum is σ = 20786901696. Its totient is φ = 1151594496.

The previous prime is 5137518959. The next prime is 5137518973. The reversal of 5137518960 is 698157315.

It is a happy number.

5137518960 is a `hidden beast` number, since 513 + 7 + 51 + 89 + 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 an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2403012 + ... + 2405148.

Almost surely, 2^5137518960 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 5137518960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393450848).

5137518960 is an abundant number, since it is smaller than the sum of its proper divisors (15649382736).

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

5137518960 is a wasteful number, since it uses less digits than its factorization.

5137518960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 5137518960 is about 71676.4881952234. The cubic root of 5137518960 is about 1725.5113191208.

The spelling of 5137518960 in words is "five billion, one hundred thirty-seven million, five hundred eighteen thousand, nine hundred sixty".