5005827993600 has 1872 divisors, whose sum is σ = 22005078251520. Its totient is φ = 1103619686400.

The previous prime is 5005827993559. The next prime is 5005827993601. The reversal of 5005827993600 is 63997285005.

5005827993600 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 8 + 27 + 9 + 9 + 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 not an unprimeable number, because it can be changed into a prime (5005827993601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5051289105 + ... + 5051290095.

Almost surely, 2^{5005827993600} is an apocalyptic number.

5005827993600 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 5005827993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11002539125760).

5005827993600 is an abundant number, since it is smaller than the sum of its proper divisors (16999250257920).

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

5005827993600 is an equidigital number, since it uses as much as digits as its factorization.

5005827993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 5005827993600 in words is "five trillion, five billion, eight hundred twenty-seven million, nine hundred ninety-three thousand, six hundred".