5115396464640 has 2688 divisors, whose sum is σ = 23561826140160. Its totient is φ = 1030045040640.

The previous prime is 5115396464627. The next prime is 5115396464723. The reversal of 5115396464640 is 464646935115.

5115396464640 is a `hidden beast` number, since 5 + 1 + 1 + 53 + 96 + 46 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-3 number, since 3×5115396464640³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40278712257 + ... + 40278712383.

It is an arithmetic number, because the mean of its divisors is an integer number (8765560320).

Almost surely, 2^{5115396464640} 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 5115396464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780913070080).

5115396464640 is an abundant number, since it is smaller than the sum of its proper divisors (18446429675520).

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

5115396464640 is a wasteful number, since it uses less digits than its factorization.

5115396464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5115396464640 in words is "five trillion, one hundred fifteen billion, three hundred ninety-six million, four hundred sixty-four thousand, six hundred forty".