5967976060800 has 2880 divisors, whose sum is σ = 26062771719600. Its totient is φ = 1332943257600.

The previous prime is 5967976060799. The next prime is 5967976060843. The reversal of 5967976060800 is 80606797695.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 61525526352 + ... + 61525526448.

Almost surely, 2^{5967976060800} is an apocalyptic number.

5967976060800 is a gapful number since it is divisible by the number (50) 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 5967976060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031385859800).

5967976060800 is an abundant number, since it is smaller than the sum of its proper divisors (20094795658800).

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

5967976060800 is a wasteful number, since it uses less digits than its factorization.

5967976060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 5967976060800 in words is "five trillion, nine hundred sixty-seven billion, nine hundred seventy-six million, sixty thousand, eight hundred".