13923856800 has 576 divisors, whose sum is σ = 60948599040. Its totient is φ = 2994831360.

The previous prime is 13923856763. The next prime is 13923856819. The reversal of 13923856800 is 865832931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2567692 + ... + 2573108.

It is an arithmetic number, because the mean of its divisors is an integer number (105813540).

Almost surely, 2^13923856800 is an apocalyptic number.

13923856800 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 13923856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474299520).

13923856800 is an abundant number, since it is smaller than the sum of its proper divisors (47024742240).

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

13923856800 is a wasteful number, since it uses less digits than its factorization.

13923856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13923856800 in words is "thirteen billion, nine hundred twenty-three million, eight hundred fifty-six thousand, eight hundred".