5993137956960 has 4608 divisors, whose sum is σ = 30023471923200. Its totient is φ = 1086588518400.

The previous prime is 5993137956941. The next prime is 5993137957067. The reversal of 5993137956960 is 696597313995.

5993137956960 is a `hidden beast` number, since 5 + 99 + 31 + 379 + 56 + 96 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 84410393725 + ... + 84410393795.

It is an arithmetic number, because the mean of its divisors is an integer number (6515510400).

Almost surely, 2^{5993137956960} 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 5993137956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011735961600).

5993137956960 is an abundant number, since it is smaller than the sum of its proper divisors (24030333966240).

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

5993137956960 is a wasteful number, since it uses less digits than its factorization.

5993137956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 372008700, while the sum is 72.

The spelling of 5993137956960 in words is "five trillion, nine hundred ninety-three billion, one hundred thirty-seven million, nine hundred fifty-six thousand, nine hundred sixty".