12513564000 has 1152 divisors, whose sum is σ = 56518705152. Its totient is φ = 2554675200.

The previous prime is 12513563981. The next prime is 12513564001. The reversal of 12513564000 is 46531521.

12513564000 is a `hidden beast` number, since 1 + 2 + 5 + 13 + 5 + 640 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12513564001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98531937 + ... + 98532063.

It is an arithmetic number, because the mean of its divisors is an integer number (49061376).

Almost surely, 2^12513564000 is an apocalyptic number.

12513564000 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 12513564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28259352576).

12513564000 is an abundant number, since it is smaller than the sum of its proper divisors (44005141152).

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

12513564000 is a wasteful number, since it uses less digits than its factorization.

12513564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 12513564000 in words is "twelve billion, five hundred thirteen million, five hundred sixty-four thousand".