5182248960 has 576 divisors, whose sum is σ = 21311035200. Its totient is φ = 1139539968.

The previous prime is 5182248937. The next prime is 5182249003. The reversal of 5182248960 is 698422815.

5182248960 is a `hidden beast` number, since 518 + 2 + 2 + 48 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18708342 + ... + 18708618.

It is an arithmetic number, because the mean of its divisors is an integer number (36998325).

Almost surely, 2^5182248960 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 5182248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655517600).

5182248960 is an abundant number, since it is smaller than the sum of its proper divisors (16128786240).

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

5182248960 is a wasteful number, since it uses less digits than its factorization.

5182248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5182248960 is about 71987.8389729821. The cubic root of 5182248960 is about 1730.5045984826.

The spelling of 5182248960 in words is "five billion, one hundred eighty-two million, two hundred forty-eight thousand, nine hundred sixty".