12969705022560 has 1536 divisors, whose sum is σ = 54664446412800. Its totient is φ = 2830363361280.

The previous prime is 12969705022531. The next prime is 12969705022577. The reversal of 12969705022560 is 6522050796921.

12969705022560 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 9 + 7 + 0 + 50 + 22 + 560 = 666.

12969705022560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12969705022497 and 12969705022506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5860688014 + ... + 5860690226.

It is an arithmetic number, because the mean of its divisors is an integer number (35588832300).

Almost surely, 2^{12969705022560} is an apocalyptic number.

12969705022560 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 12969705022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27332223206400).

12969705022560 is an abundant number, since it is smaller than the sum of its proper divisors (41694741390240).

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

12969705022560 is a wasteful number, since it uses less digits than its factorization.

12969705022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 12969705022560 in words is "twelve trillion, nine hundred sixty-nine billion, seven hundred five million, twenty-two thousand, five hundred sixty".