12560696064 has 648 divisors, whose sum is σ = 45123082368. Its totient is φ = 3344302080.

The previous prime is 12560696047. The next prime is 12560696117. The reversal of 12560696064 is 46069606521.

It is a super-2 number, since 2×12560696064² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129491664 + ... + 129491760.

Almost surely, 2^12560696064 is an apocalyptic number.

12560696064 is a gapful number since it is divisible by the number (14) 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 12560696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22561541184).

12560696064 is an abundant number, since it is smaller than the sum of its proper divisors (32562386304).

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

12560696064 is a wasteful number, since it uses less digits than its factorization.

12560696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12560696064 in words is "twelve billion, five hundred sixty million, six hundred ninety-six thousand, sixty-four".