13604637552000 has 512 divisors, whose sum is σ = 49238927861760. Its totient is φ = 3295438848000.

The previous prime is 13604637551963. The next prime is 13604637552013. The reversal of 13604637552000 is 25573640631.

13604637552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700646292 + ... + 700665708.

It is an arithmetic number, because the mean of its divisors is an integer number (96169780980).

Almost surely, 2^{13604637552000} is an apocalyptic number.

13604637552000 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 13604637552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24619463930880).

13604637552000 is an abundant number, since it is smaller than the sum of its proper divisors (35634290309760).

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

13604637552000 is a wasteful number, since it uses less digits than its factorization.

13604637552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20787 (or 20765 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 13604637552000 in words is "thirteen trillion, six hundred four billion, six hundred thirty-seven million, five hundred fifty-two thousand".