5979793536000 has 528 divisors, whose sum is σ = 21706484127120. Its totient is φ = 1582930329600.

The previous prime is 5979793535983. The next prime is 5979793536047. The reversal of 5979793536000 is 6353979795.

5979793536000 is a `hidden beast` number, since 5 + 9 + 7 + 9 + 7 + 93 + 536 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2531611938816 + 3448181597184 = 1591104^2 + 1856928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157805056 + ... + 157842944.

Almost surely, 2^{5979793536000} is an apocalyptic number.

5979793536000 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 5979793536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10853242063560).

5979793536000 is an abundant number, since it is smaller than the sum of its proper divisors (15726690591120).

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

5979793536000 is a wasteful number, since it uses less digits than its factorization.

5979793536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38067 (or 38036 counting only the distinct ones).

The product of its (nonzero) digits is 48223350, while the sum is 63.

The spelling of 5979793536000 in words is "five trillion, nine hundred seventy-nine billion, seven hundred ninety-three million, five hundred thirty-six thousand".