5013408960 has 336 divisors, whose sum is σ = 19851624000. Its totient is φ = 1137549312.

The previous prime is 5013408949. The next prime is 5013408979. The reversal of 5013408960 is 698043105.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3003006 + ... + 3004674.

Almost surely, 2^5013408960 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 5013408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925812000).

5013408960 is an abundant number, since it is smaller than the sum of its proper divisors (14838215040).

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

5013408960 is a wasteful number, since it uses less digits than its factorization.

5013408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5013408960 is about 70805.4303002249. The cubic root of 5013408960 is about 1711.5031821846.

The spelling of 5013408960 in words is "five billion, thirteen million, four hundred eight thousand, nine hundred sixty".