13793823285600 has 288 divisors, whose sum is σ = 46856948463360. Its totient is φ = 3517979351040.

The previous prime is 13793823285581. The next prime is 13793823285653. The reversal of 13793823285600 is 658232839731.

It is a super-3 number, since 3×13793823285600³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 868784862 + ... + 868800738.

It is an arithmetic number, because the mean of its divisors is an integer number (162697737720).

Almost surely, 2^{13793823285600} is an apocalyptic number.

13793823285600 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 13793823285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23428474231680).

13793823285600 is an abundant number, since it is smaller than the sum of its proper divisors (33063125177760).

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

13793823285600 is a wasteful number, since it uses less digits than its factorization.

13793823285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31662 (or 31649 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 13793823285600 in words is "thirteen trillion, seven hundred ninety-three billion, eight hundred twenty-three million, two hundred eighty-five thousand, six hundred".