5093580800000 has 1632 divisors, whose sum is σ = 17693452546560. Its totient is φ = 1415577600000.

The previous prime is 5093580799987. The next prime is 5093580800027. The reversal of 5093580800000 is 80853905.

It is a super-2 number, since 2×5093580800000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268083199991 + ... + 268083200009.

Almost surely, 2^{5093580800000} is an apocalyptic number.

5093580800000 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 5093580800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846726273280).

5093580800000 is an abundant number, since it is smaller than the sum of its proper divisors (12599871746560).

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

5093580800000 is an frugal number, since it uses more digits than its factorization.

5093580800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 5093580800000 in words is "five trillion, ninety-three billion, five hundred eighty million, eight hundred thousand".