13393416960 has 864 divisors, whose sum is σ = 60397747200. Its totient is φ = 2779176960.

The previous prime is 13393416943. The next prime is 13393416961. The reversal of 13393416960 is 6961439331.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (13393416961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18627481 + ... + 18628199.

It is an arithmetic number, because the mean of its divisors is an integer number (69904800).

Almost surely, 2^13393416960 is an apocalyptic number.

13393416960 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 13393416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30198873600).

13393416960 is an abundant number, since it is smaller than the sum of its proper divisors (47004330240).

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

13393416960 is a wasteful number, since it uses less digits than its factorization.

13393416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 13393416960 in words is "thirteen billion, three hundred ninety-three million, four hundred sixteen thousand, nine hundred sixty".