5093860356000 has 1152 divisors, whose sum is σ = 20166187991040. Its totient is φ = 1209240576000.

The previous prime is 5093860355989. The next prime is 5093860356019. The reversal of 5093860356000 is 6530683905.

5093860356000 is a `hidden beast` number, since 5 + 0 + 9 + 3 + 8 + 6 + 0 + 35 + 600 + 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 191 ways as a sum of consecutive naturals, for example, 6949331634 + ... + 6949332366.

It is an arithmetic number, because the mean of its divisors is an integer number (17505371520).

Almost surely, 2^{5093860356000} is an apocalyptic number.

5093860356000 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 5093860356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083093995520).

5093860356000 is an abundant number, since it is smaller than the sum of its proper divisors (15072327635040).

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

5093860356000 is a wasteful number, since it uses less digits than its factorization.

5093860356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5093860356000 in words is "five trillion, ninety-three billion, eight hundred sixty million, three hundred fifty-six thousand".