5393813145600 has 1152 divisors, whose sum is σ = 20576058048000. Its totient is φ = 1232732160000.

The previous prime is 5393813145599. The next prime is 5393813145613. The reversal of 5393813145600 is 65413183935.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5393813145600.

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, 12873062191 + ... + 12873062609.

It is an arithmetic number, because the mean of its divisors is an integer number (17861161500).

Almost surely, 2^{5393813145600} is an apocalyptic number.

5393813145600 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 5393813145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10288029024000).

5393813145600 is an abundant number, since it is smaller than the sum of its proper divisors (15182244902400).

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

5393813145600 is a wasteful number, since it uses less digits than its factorization.

5393813145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 5393813145600 in words is "five trillion, three hundred ninety-three billion, eight hundred thirteen million, one hundred forty-five thousand, six hundred".