5096646696960 has 2688 divisors, whose sum is σ = 23948299275264. Its totient is φ = 1009023713280.

The previous prime is 5096646696959. The next prime is 5096646696971. The reversal of 5096646696960 is 696966466905.

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

It is a Smith number, since the sum of its digits (72) 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 (72).

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, 15397723995 + ... + 15397724325.

It is an arithmetic number, because the mean of its divisors is an integer number (8909337528).

Almost surely, 2^{5096646696960} 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 5096646696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974149637632).

5096646696960 is an abundant number, since it is smaller than the sum of its proper divisors (18851652578304).

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

5096646696960 is a wasteful number, since it uses less digits than its factorization.

5096646696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 72.

The spelling of 5096646696960 in words is "five trillion, ninety-six billion, six hundred forty-six million, six hundred ninety-six thousand, nine hundred sixty".