5114624885760 has 704 divisors, whose sum is σ = 18067382452224. Its totient is φ = 1227040358400.

The previous prime is 5114624885723. The next prime is 5114624885809. The reversal of 5114624885760 is 675884264115.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5114624885760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2543323155 + ... + 2543325165.

Almost surely, 2^{5114624885760} 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 5114624885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9033691226112).

5114624885760 is an abundant number, since it is smaller than the sum of its proper divisors (12952757566464).

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

5114624885760 is a wasteful number, since it uses less digits than its factorization.

5114624885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 5114624885760 in words is "five trillion, one hundred fourteen billion, six hundred twenty-four million, eight hundred eighty-five thousand, seven hundred sixty".