13621608000 has 2016 divisors, whose sum is σ = 69057975168. Its totient is φ = 2612736000.

The previous prime is 13621607977. The next prime is 13621608017. The reversal of 13621608000 is 80612631.

13621608000 is a `hidden beast` number, since 1 + 36 + 21 + 608 + 0 + 0 + 0 = 666.

13621608000 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 (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 287 ways as a sum of consecutive naturals, for example, 1047815994 + ... + 1047816006.

It is an arithmetic number, because the mean of its divisors is an integer number (34254948).

Almost surely, 2^13621608000 is an apocalyptic number.

13621608000 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 13621608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34528987584).

13621608000 is an abundant number, since it is smaller than the sum of its proper divisors (55436367168).

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

13621608000 is a wasteful number, since it uses less digits than its factorization.

13621608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13621608000 in words is "thirteen billion, six hundred twenty-one million, six hundred eight thousand".