5093580441600 has 1728 divisors, whose sum is σ = 22083506565120. Its totient is φ = 1096807219200.

The previous prime is 5093580441571. The next prime is 5093580441611. The reversal of 5093580441600 is 61440853905.

5093580441600 is a `hidden beast` number, since 5 + 0 + 9 + 3 + 580 + 4 + 4 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5267404317 + ... + 5267405283.

It is an arithmetic number, because the mean of its divisors is an integer number (12779807040).

Almost surely, 2^{5093580441600} is an apocalyptic number.

5093580441600 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 5093580441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041753282560).

5093580441600 is an abundant number, since it is smaller than the sum of its proper divisors (16989926123520).

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

5093580441600 is a wasteful number, since it uses less digits than its factorization.

5093580441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5093580441600 in words is "five trillion, ninety-three billion, five hundred eighty million, four hundred forty-one thousand, six hundred".