12560167065600 has 3456 divisors, whose sum is σ = 61462016179200. Its totient is φ = 2452488192000.

The previous prime is 12560167065571. The next prime is 12560167065601. The reversal of 12560167065600 is 656076106521.

12560167065600 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 0 + 16 + 70 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12560167065601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19905177285 + ... + 19905177915.

It is an arithmetic number, because the mean of its divisors is an integer number (17784148200).

Almost surely, 2^{12560167065600} is an apocalyptic number.

12560167065600 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 12560167065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30731008089600).

12560167065600 is an abundant number, since it is smaller than the sum of its proper divisors (48901849113600).

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

12560167065600 is a wasteful number, since it uses less digits than its factorization.

12560167065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 12560167065600 in words is "twelve trillion, five hundred sixty billion, one hundred sixty-seven million, sixty-five thousand, six hundred".