13890676800 has 1344 divisors, whose sum is σ = 63495936000. Its totient is φ = 2619187200.

The previous prime is 13890676799. The next prime is 13890676817. The reversal of 13890676800 is 867609831.

13890676800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13890676800.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 235435171 + ... + 235435229.

It is an arithmetic number, because the mean of its divisors is an integer number (47244000).

Almost surely, 2^13890676800 is an apocalyptic number.

13890676800 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 13890676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31747968000).

13890676800 is an abundant number, since it is smaller than the sum of its proper divisors (49605259200).

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

13890676800 is a wasteful number, since it uses less digits than its factorization.

13890676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 13890676800 in words is "thirteen billion, eight hundred ninety million, six hundred seventy-six thousand, eight hundred".