13569648000 has 256 divisors, whose sum is σ = 47354112000. Its totient is φ = 3427891200.

The previous prime is 13569647999. The next prime is 13569648041. The reversal of 13569648000 is 84696531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 904561 + ... + 919439.

It is an arithmetic number, because the mean of its divisors is an integer number (184977000).

Almost surely, 2^13569648000 is an apocalyptic number.

13569648000 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 13569648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23677056000).

13569648000 is an abundant number, since it is smaller than the sum of its proper divisors (33784464000).

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

13569648000 is a wasteful number, since it uses less digits than its factorization.

13569648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14930 (or 14908 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 13569648000 in words is "thirteen billion, five hundred sixty-nine million, six hundred forty-eight thousand".