13965784920 has 384 divisors, whose sum is σ = 51239485440. Its totient is φ = 3279851520.

The previous prime is 13965784919. The next prime is 13965784949. The reversal of 13965784920 is 2948756931.

13965784920 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 578 + 49 + 20 = 666.

13965784920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×13965784920⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6614665 + ... + 6616775.

It is an arithmetic number, because the mean of its divisors is an integer number (133436160).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13965784920 = 27931569840, but 3⋅13965784920 = 41897354760 is not.

Almost surely, 2^13965784920 is an apocalyptic number.

13965784920 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 13965784920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25619742720).

13965784920 is an abundant number, since it is smaller than the sum of its proper divisors (37273700520).

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

13965784920 is a wasteful number, since it uses less digits than its factorization.

13965784920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13965784920 in words is "thirteen billion, nine hundred sixty-five million, seven hundred eighty-four thousand, nine hundred twenty".