13553568000 has 1008 divisors, whose sum is σ = 58551083136. Its totient is φ = 3060633600.

The previous prime is 13553567987. The next prime is 13553568011. The reversal of 13553568000 is 86535531.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 163295959 + ... + 163296041.

It is an arithmetic number, because the mean of its divisors is an integer number (58086392).

Almost surely, 2^13553568000 is an apocalyptic number.

13553568000 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 13553568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29275541568).

13553568000 is an abundant number, since it is smaller than the sum of its proper divisors (44997515136).

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

13553568000 is an frugal number, since it uses more digits than its factorization.

13553568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13553568000 in words is "thirteen billion, five hundred fifty-three million, five hundred sixty-eight thousand".