12964997297280 has 1024 divisors, whose sum is σ = 52218589593600. Its totient is φ = 2667619024896.

The previous prime is 12964997297269. The next prime is 12964997297293. The reversal of 12964997297280 is 8279279946921.

It is a super-3 number, since 3×12964997297280³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 708964297 + ... + 708982583.

It is an arithmetic number, because the mean of its divisors is an integer number (50994716400).

Almost surely, 2^{12964997297280} is an apocalyptic number.

12964997297280 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 12964997297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26109294796800).

12964997297280 is an abundant number, since it is smaller than the sum of its proper divisors (39253592296320).

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

12964997297280 is a wasteful number, since it uses less digits than its factorization.

12964997297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18469 (or 18457 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 75.

The spelling of 12964997297280 in words is "twelve trillion, nine hundred sixty-four billion, nine hundred ninety-seven million, two hundred ninety-seven thousand, two hundred eighty".