5149884960 has 768 divisors, whose sum is σ = 21097843200. Its totient is φ = 1161216000.

The previous prime is 5149884917. The next prime is 5149884977. The reversal of 5149884960 is 694889415.

5149884960 is a `hidden beast` number, since 5 + 149 + 8 + 8 + 496 + 0 = 666.

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 = 5149884897 and 5149884906.

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, 50988910 + ... + 50989010.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 2^5149884960 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 5149884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548921600).

5149884960 is an abundant number, since it is smaller than the sum of its proper divisors (15947958240).

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

5149884960 is a wasteful number, since it uses less digits than its factorization.

5149884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 5149884960 is about 71762.6989459009. The cubic root of 5149884960 is about 1726.8946441642.

The spelling of 5149884960 in words is "five billion, one hundred forty-nine million, eight hundred eighty-four thousand, nine hundred sixty".