13393054080 has 512 divisors, whose sum is σ = 54545356800. Its totient is φ = 3042385920.

The previous prime is 13393054067. The next prime is 13393054099. The reversal of 13393054080 is 8045039331.

13393054080 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 30 + 540 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31812270 + ... + 31812690.

It is an arithmetic number, because the mean of its divisors is an integer number (106533900).

Almost surely, 2^13393054080 is an apocalyptic number.

13393054080 is a gapful number since it is divisible by the number (10) 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 13393054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27272678400).

13393054080 is an abundant number, since it is smaller than the sum of its proper divisors (41152302720).

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

13393054080 is a wasteful number, since it uses less digits than its factorization.

13393054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13393054080 in words is "thirteen billion, three hundred ninety-three million, fifty-four thousand, eighty".