13686033488400 has 1200 divisors, whose sum is σ = 61282103777664. Its totient is φ = 2848001679360.

The previous prime is 13686033488353. The next prime is 13686033488431. The reversal of 13686033488400 is 488433068631.

13686033488400 is a `hidden beast` number, since 1 + 3 + 68 + 60 + 3 + 3 + 488 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

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 239 ways as a sum of consecutive naturals, for example, 215201407 + ... + 215264993.

Almost surely, 2^{13686033488400} is an apocalyptic number.

13686033488400 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 13686033488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30641051888832).

13686033488400 is an abundant number, since it is smaller than the sum of its proper divisors (47596070289264).

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

13686033488400 is a wasteful number, since it uses less digits than its factorization.

13686033488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63710 (or 63690 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 13686033488400 in words is "thirteen trillion, six hundred eighty-six billion, thirty-three million, four hundred eighty-eight thousand, four hundred".