5781997728000 has 2880 divisors, whose sum is σ = 24614891421120. Its totient is φ = 1337720832000.

The previous prime is 5781997727981. The next prime is 5781997728077. The reversal of 5781997728000 is 8277991875.

It can be written as a sum of positive squares in 32 ways, for example, as 5171949252864 + 610048475136 = 2274192^2 + 781056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 59608223952 + ... + 59608224048.

It is an arithmetic number, because the mean of its divisors is an integer number (8546837299).

Almost surely, 2^{5781997728000} is an apocalyptic number.

5781997728000 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 5781997728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307445710560).

5781997728000 is an abundant number, since it is smaller than the sum of its proper divisors (18832893693120).

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

5781997728000 is a wasteful number, since it uses less digits than its factorization.

5781997728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 5781997728000 in words is "five trillion, seven hundred eighty-one billion, nine hundred ninety-seven million, seven hundred twenty-eight thousand".