13935816960 has 288 divisors, whose sum is σ = 48397668480. Its totient is φ = 3396993024.

The previous prime is 13935816949. The next prime is 13935816967. The reversal of 13935816960 is 6961853931.

It is not an unprimeable number, because it can be changed into a prime (13935816967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5340136 + ... + 5342744.

It is an arithmetic number, because the mean of its divisors is an integer number (168047460).

Almost surely, 2^13935816960 is an apocalyptic number.

13935816960 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 13935816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24198834240).

13935816960 is an abundant number, since it is smaller than the sum of its proper divisors (34461851520).

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

13935816960 is a wasteful number, since it uses less digits than its factorization.

13935816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 13935816960 in words is "thirteen billion, nine hundred thirty-five million, eight hundred sixteen thousand, nine hundred sixty".