5248877760 has 336 divisors, whose sum is σ = 21399495936. Its totient is φ = 1199619072.

The previous prime is 5248877743. The next prime is 5248877773. The reversal of 5248877760 is 677788425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5248877697 and 5248877706.

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, 539499 + ... + 549141.

It is an arithmetic number, because the mean of its divisors is an integer number (63688976).

Almost surely, 2^5248877760 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 5248877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10699747968).

5248877760 is an abundant number, since it is smaller than the sum of its proper divisors (16150618176).

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

5248877760 is an equidigital number, since it uses as much as digits as its factorization.

5248877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 5248877760 is about 72449.1391253202. The cubic root of 5248877760 is about 1737.8894743756.

The spelling of 5248877760 in words is "five billion, two hundred forty-eight million, eight hundred seventy-seven thousand, seven hundred sixty".