13757968800 has 288 divisors, whose sum is σ = 49906805760. Its totient is φ = 3657830400.

The previous prime is 13757968771. The next prime is 13757968823. The reversal of 13757968800 is 886975731.

13757968800 is a `hidden beast` number, since 1 + 3 + 7 + 579 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 9352065 + ... + 9353535.

It is an arithmetic number, because the mean of its divisors is an integer number (173287520).

Almost surely, 2^13757968800 is an apocalyptic number.

13757968800 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 13757968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24953402880).

13757968800 is an abundant number, since it is smaller than the sum of its proper divisors (36148836960).

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

13757968800 is a wasteful number, since it uses less digits than its factorization.

13757968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 13757968800 in words is "thirteen billion, seven hundred fifty-seven million, nine hundred sixty-eight thousand, eight hundred".