12564365829120 has 1760 divisors, whose sum is σ = 53528925542400. Its totient is φ = 2757615943680.

The previous prime is 12564365829107. The next prime is 12564365829131. The reversal of 12564365829120 is 2192856346521.

12564365829120 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 4 + 36 + 582 + 9 + 1 + 20 = 666.

12564365829120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13409141292 + ... + 13409142228.

It is an arithmetic number, because the mean of its divisors is an integer number (30414162240).

Almost surely, 2^{12564365829120} is an apocalyptic number.

12564365829120 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 12564365829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26764462771200).

12564365829120 is an abundant number, since it is smaller than the sum of its proper divisors (40964559713280).

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

12564365829120 is a wasteful number, since it uses less digits than its factorization.

12564365829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 12564365829120 in words is "twelve trillion, five hundred sixty-four billion, three hundred sixty-five million, eight hundred twenty-nine thousand, one hundred twenty".