5993166153600 has 672 divisors, whose sum is σ = 22226098688640. Its totient is φ = 1596107980800.

The previous prime is 5993166153599. The next prime is 5993166153613. The reversal of 5993166153600 is 63516613995.

5993166153600 is a `hidden beast` number, since 5 + 9 + 9 + 3 + 16 + 6 + 15 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2839016545 + ... + 2839018655.

It is an arithmetic number, because the mean of its divisors is an integer number (33074551620).

Almost surely, 2^{5993166153600} is an apocalyptic number.

5993166153600 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 5993166153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113049344320).

5993166153600 is an abundant number, since it is smaller than the sum of its proper divisors (16232932535040).

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

5993166153600 is a wasteful number, since it uses less digits than its factorization.

5993166153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 5993166153600 in words is "five trillion, nine hundred ninety-three billion, one hundred sixty-six million, one hundred fifty-three thousand, six hundred".