5134640232960 has 1680 divisors, whose sum is σ = 22081831922304. Its totient is φ = 1121093664768.

The previous prime is 5134640232959. The next prime is 5134640233057. The reversal of 5134640232960 is 692320464315.

5134640232960 is a `hidden beast` number, since 513 + 4 + 6 + 40 + 2 + 3 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6910686349 + ... + 6910687091.

Almost surely, 2^{5134640232960} 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 5134640232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040915961152).

5134640232960 is an abundant number, since it is smaller than the sum of its proper divisors (16947191689344).

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

5134640232960 is an frugal number, since it uses more digits than its factorization.

5134640232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 5134640232960 in words is "five trillion, one hundred thirty-four billion, six hundred forty million, two hundred thirty-two thousand, nine hundred sixty".