13722963520 has 280 divisors, whose sum is σ = 38956375224. Its totient is φ = 4602544128.

The previous prime is 13722963511. The next prime is 13722963539. The reversal of 13722963520 is 2536922731.

13722963520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1329039936 + 12393923584 = 36456^2 + 111328^2 .

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 39 ways as a sum of consecutive naturals, for example, 40720792 + ... + 40721128.

Almost surely, 2^13722963520 is an apocalyptic number.

13722963520 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 13722963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478187612).

13722963520 is an abundant number, since it is smaller than the sum of its proper divisors (25233411704).

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

13722963520 is an frugal number, since it uses more digits than its factorization.

13722963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 13722963520 in words is "thirteen billion, seven hundred twenty-two million, nine hundred sixty-three thousand, five hundred twenty".