13883725296 has 240 divisors, whose sum is σ = 48476064000. Its totient is φ = 3757860864.

The previous prime is 13883725259. The next prime is 13883725301. The reversal of 13883725296 is 69252738831.

13883725296 is a `hidden beast` number, since 1 + 3 + 88 + 37 + 2 + 529 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4354560) is a multiple of the sum of its prime divisors (26880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503680 + ... + 530528.

It is an arithmetic number, because the mean of its divisors is an integer number (201983600).

Almost surely, 2^13883725296 is an apocalyptic number.

13883725296 is a gapful number since it is divisible by the number (16) 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 13883725296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24238032000).

13883725296 is an abundant number, since it is smaller than the sum of its proper divisors (34592338704).

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

13883725296 is a wasteful number, since it uses less digits than its factorization.

13883725296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26898 (or 26880 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 13883725296 in words is "thirteen billion, eight hundred eighty-three million, seven hundred twenty-five thousand, two hundred ninety-six".