5249525760 has 240 divisors, whose sum is σ = 18818900100. Its totient is φ = 1399652352.

The previous prime is 5249525737. The next prime is 5249525791. The reversal of 5249525760 is 675259425.

5249525760 is a `hidden beast` number, since 5 + 24 + 9 + 52 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5225554944 + 23970816 = 72288^2 + 4896^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 826276 + ... + 832604.

Almost surely, 2^5249525760 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 5249525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409450050).

5249525760 is an abundant number, since it is smaller than the sum of its proper divisors (13569374340).

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

5249525760 is an equidigital number, since it uses as much as digits as its factorization.

5249525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5249525760 is about 72453.6110901313. The cubic root of 5249525760 is about 1737.9609884586.

The spelling of 5249525760 in words is "five billion, two hundred forty-nine million, five hundred twenty-five thousand, seven hundred sixty".