13965807520 has 192 divisors, whose sum is σ = 39723264000. Its totient is φ = 4633251840.

The previous prime is 13965807517. The next prime is 13965807533. The reversal of 13965807520 is 2570856931.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697176 + ... + 1705384.

It is an arithmetic number, because the mean of its divisors is an integer number (206892000).

Almost surely, 2^13965807520 is an apocalyptic number.

13965807520 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 13965807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19861632000).

13965807520 is an abundant number, since it is smaller than the sum of its proper divisors (25757456480).

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

13965807520 is an equidigital number, since it uses as much as digits as its factorization.

13965807520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 13965807520 in words is "thirteen billion, nine hundred sixty-five million, eight hundred seven thousand, five hundred twenty".