5181251760 has 240 divisors, whose sum is σ = 17730052704. Its totient is φ = 1355747328.

The previous prime is 5181251749. The next prime is 5181251783. The reversal of 5181251760 is 671521815.

5181251760 is a `hidden beast` number, since 5 + 1 + 81 + 2 + 517 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16553364 + ... + 16553676.

Almost surely, 2^5181251760 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 5181251760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8865026352).

5181251760 is an abundant number, since it is smaller than the sum of its proper divisors (12548800944).

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

5181251760 is a wasteful number, since it uses less digits than its factorization.

5181251760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 5181251760 is about 71980.9124699041. The cubic root of 5181251760 is about 1730.3935932737.

The spelling of 5181251760 in words is "five billion, one hundred eighty-one million, two hundred fifty-one thousand, seven hundred sixty".