12962765270268 has 36 divisors (see below), whose sum is σ = 35745807261528. Its totient is φ = 3928110687840.

The previous prime is 12962765270263. The next prime is 12962765270293. The reversal of 12962765270268 is 86207256726921.

12962765270268 is a `hidden beast` number, since 1 + 2 + 96 + 276 + 5 + 270 + 2 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12962765270263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16367127471 + ... + 16367128262.

It is an arithmetic number, because the mean of its divisors is an integer number (992939090598).

Almost surely, 2^{12962765270268} is an apocalyptic number.

12962765270268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12962765270268 is an abundant number, since it is smaller than the sum of its proper divisors (22783041991260).

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

12962765270268 is a wasteful number, since it uses less digits than its factorization.

12962765270268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32734255754 (or 32734255749 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 12962765270268 in words is "twelve trillion, nine hundred sixty-two billion, seven hundred sixty-five million, two hundred seventy thousand, two hundred sixty-eight".