5161135198464 has 864 divisors, whose sum is σ = 18396361052160. Its totient is φ = 1358622720000.

The previous prime is 5161135198433. The next prime is 5161135198477. The reversal of 5161135198464 is 4648915311615.

5161135198464 is a `hidden beast` number, since 5 + 1 + 6 + 113 + 519 + 8 + 4 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5161135198464.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6872350089 + ... + 6872350839.

Almost surely, 2^{5161135198464} 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 5161135198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9198180526080).

5161135198464 is an abundant number, since it is smaller than the sum of its proper divisors (13235225853696).

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

5161135198464 is a wasteful number, since it uses less digits than its factorization.

5161135198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1370 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 5161135198464 in words is "five trillion, one hundred sixty-one billion, one hundred thirty-five million, one hundred ninety-eight thousand, four hundred sixty-four".