12965469399540 has 288 divisors, whose sum is σ = 45068109166080. Its totient is φ = 2955553920000.

The previous prime is 12965469399521. The next prime is 12965469399569. The reversal of 12965469399540 is 4599396456921.

12965469399540 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 5 + 46 + 9 + 39 + 9 + 540 = 666.

12965469399540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2356926790 + ... + 2356932290.

It is an arithmetic number, because the mean of its divisors is an integer number (156486490160).

Almost surely, 2^{12965469399540} is an apocalyptic number.

12965469399540 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 12965469399540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22534054583040).

12965469399540 is an abundant number, since it is smaller than the sum of its proper divisors (32102639766540).

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

12965469399540 is a wasteful number, since it uses less digits than its factorization.

12965469399540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223 (or 10218 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 72.

The spelling of 12965469399540 in words is "twelve trillion, nine hundred sixty-five billion, four hundred sixty-nine million, three hundred ninety-nine thousand, five hundred forty".