13565952000 has 480 divisors, whose sum is σ = 51036242400. Its totient is φ = 3460300800.

The previous prime is 13565951999. The next prime is 13565952047. The reversal of 13565952000 is 25956531.

13565952000 is a `hidden beast` number, since 1 + 3 + 565 + 95 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589823989 + ... + 589824011.

It is an arithmetic number, because the mean of its divisors is an integer number (106325505).

Almost surely, 2^13565952000 is an apocalyptic number.

13565952000 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 13565952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25518121200).

13565952000 is an abundant number, since it is smaller than the sum of its proper divisors (37470290400).

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

13565952000 is an frugal number, since it uses more digits than its factorization.

13565952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 13565952000 in words is "thirteen billion, five hundred sixty-five million, nine hundred fifty-two thousand".