5031149760 has 896 divisors, whose sum is σ = 22394265600. Its totient is φ = 1048080384.

The previous prime is 5031149759. The next prime is 5031149807. The reversal of 5031149760 is 679411305.

5031149760 is a `hidden beast` number, since 503 + 1 + 1 + 4 + 97 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63685401 + ... + 63685479.

It is an arithmetic number, because the mean of its divisors is an integer number (24993600).

Almost surely, 2^5031149760 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 5031149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197132800).

5031149760 is an abundant number, since it is smaller than the sum of its proper divisors (17363115840).

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

5031149760 is an equidigital number, since it uses as much as digits as its factorization.

5031149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5031149760 is about 70930.5981928815. The cubic root of 5031149760 is about 1713.5196205500.

The spelling of 5031149760 in words is "five billion, thirty-one million, one hundred forty-nine thousand, seven hundred sixty".