13635152668800 has 384 divisors, whose sum is σ = 53739404208000. Its totient is φ = 3356344995840.

The previous prime is 13635152668763. The next prime is 13635152668801. The reversal of 13635152668800 is 886625153631.

It is a happy number.

13635152668800 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 51 + 526 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (13635152668801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4946580 + ... + 7192979.

It is an arithmetic number, because the mean of its divisors is an integer number (139946365125).

Almost surely, 2^{13635152668800} is an apocalyptic number.

13635152668800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13635152668800 is an abundant number, since it is smaller than the sum of its proper divisors (40104251539200).

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

13635152668800 is a wasteful number, since it uses less digits than its factorization.

13635152668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12139605 (or 12139582 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 13635152668800 in words is "thirteen trillion, six hundred thirty-five billion, one hundred fifty-two million, six hundred sixty-eight thousand, eight hundred".