5965179190656 has 256 divisors, whose sum is σ = 19185564303360. Its totient is φ = 1603096805376.

The previous prime is 5965179190627. The next prime is 5965179190697. The reversal of 5965179190656 is 6560919715695.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75953200 + ... + 76031696.

It is an arithmetic number, because the mean of its divisors is an integer number (74943610560).

Almost surely, 2^{5965179190656} is an apocalyptic number.

5965179190656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5965179190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592782151680).

5965179190656 is an abundant number, since it is smaller than the sum of its proper divisors (13220385112704).

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

5965179190656 is a wasteful number, since it uses less digits than its factorization.

5965179190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80201 (or 80189 counting only the distinct ones).

The product of its (nonzero) digits is 137781000, while the sum is 69.

The spelling of 5965179190656 in words is "five trillion, nine hundred sixty-five billion, one hundred seventy-nine million, one hundred ninety thousand, six hundred fifty-six".