13883904000 has 624 divisors, whose sum is σ = 52624750464. Its totient is φ = 3514368000.

The previous prime is 13883903987. The next prime is 13883904017. The reversal of 13883904000 is 40938831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105983935 + ... + 105984065.

It is an arithmetic number, because the mean of its divisors is an integer number (84334536).

Almost surely, 2^13883904000 is an apocalyptic number.

13883904000 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 13883904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26312375232).

13883904000 is an abundant number, since it is smaller than the sum of its proper divisors (38740846464).

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

13883904000 is a wasteful number, since it uses less digits than its factorization.

13883904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13883904000 in words is "thirteen billion, eight hundred eighty-three million, nine hundred four thousand".