5013096560640 has 576 divisors, whose sum is σ = 19990210968000. Its totient is φ = 1138138546176.

The previous prime is 5013096560599. The next prime is 5013096560653. The reversal of 5013096560640 is 460656903105.

5013096560640 is a `hidden beast` number, since 5 + 0 + 1 + 30 + 9 + 6 + 5 + 606 + 4 + 0 = 666.

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

It is a super-2 number, since 2×5013096560640² (a number of 26 digits) contains 22 as substring.

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, 96096804 + ... + 96148956.

It is an arithmetic number, because the mean of its divisors is an integer number (34705227375).

Almost surely, 2^{5013096560640} 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 5013096560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995105484000).

5013096560640 is an abundant number, since it is smaller than the sum of its proper divisors (14977114407360).

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

5013096560640 is a wasteful number, since it uses less digits than its factorization.

5013096560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52342 (or 52319 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5013096560640 in words is "five trillion, thirteen billion, ninety-six million, five hundred sixty thousand, six hundred forty".