5121609434656 has 384 divisors, whose sum is σ = 12503000788992. Its totient is φ = 2032031232000.

The previous prime is 5121609434609. The next prime is 5121609434659. The reversal of 5121609434656 is 6564349061215.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (5121609434659) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3708623086 + ... + 3708624466.

It is an arithmetic number, because the mean of its divisors is an integer number (32559897888).

Almost surely, 2^{5121609434656} 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 5121609434656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251500394496).

5121609434656 is an abundant number, since it is smaller than the sum of its proper divisors (7381391354336).

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

5121609434656 is a wasteful number, since it uses less digits than its factorization.

5121609434656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 5121609434656 in words is "five trillion, one hundred twenty-one billion, six hundred nine million, four hundred thirty-four thousand, six hundred fifty-six".