13803590793600 has 576 divisors, whose sum is σ = 49685103365040. Its totient is φ = 3648907100160.

The previous prime is 13803590793581. The next prime is 13803590793607. The reversal of 13803590793600 is 639709530831.

13803590793600 is a `hidden beast` number, since 1 + 380 + 35 + 90 + 7 + 93 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13803590793607) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1605624502 + ... + 1605633098.

Almost surely, 2^{13803590793600} is an apocalyptic number.

13803590793600 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 13803590793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24842551682520).

13803590793600 is an abundant number, since it is smaller than the sum of its proper divisors (35881512571440).

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

13803590793600 is a wasteful number, since it uses less digits than its factorization.

13803590793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107 (or 9087 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 13803590793600 in words is "thirteen trillion, eight hundred three billion, five hundred ninety million, seven hundred ninety-three thousand, six hundred".