13790140800 has 384 divisors, whose sum is σ = 46853251200. Its totient is φ = 3563520000.

The previous prime is 13790140769. The next prime is 13790140817. The reversal of 13790140800 is 804109731.

13790140800 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 (384).

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 47 ways as a sum of consecutive naturals, for example, 54940675 + ... + 54940925.

It is an arithmetic number, because the mean of its divisors is an integer number (122013675).

Almost surely, 2^13790140800 is an apocalyptic number.

13790140800 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 13790140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426625600).

13790140800 is an abundant number, since it is smaller than the sum of its proper divisors (33063110400).

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

13790140800 is a wasteful number, since it uses less digits than its factorization.

13790140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 13790140800 in words is "thirteen billion, seven hundred ninety million, one hundred forty thousand, eight hundred".