5990729668800 has 336 divisors, whose sum is σ = 19804636422144. Its totient is φ = 1585372160000.

The previous prime is 5990729668783. The next prime is 5990729668801. The reversal of 5990729668800 is 88669270995.

It is not an unprimeable number, because it can be changed into a prime (5990729668801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395133220 + ... + 395148380.

It is an arithmetic number, because the mean of its divisors is an integer number (58942370304).

Almost surely, 2^{5990729668800} is an apocalyptic number.

5990729668800 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 5990729668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902318211072).

5990729668800 is an abundant number, since it is smaller than the sum of its proper divisors (13813906753344).

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

5990729668800 is a wasteful number, since it uses less digits than its factorization.

5990729668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15808 (or 15793 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 5990729668800 in words is "five trillion, nine hundred ninety billion, seven hundred twenty-nine million, six hundred sixty-eight thousand, eight hundred".