12917259264 has 704 divisors, whose sum is σ = 46219622400. Its totient is φ = 3179151360.

The previous prime is 12917259233. The next prime is 12917259301. The reversal of 12917259264 is 46295271921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315055084 + ... + 315055124.

Almost surely, 2^12917259264 is an apocalyptic number.

12917259264 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 12917259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109811200).

12917259264 is an abundant number, since it is smaller than the sum of its proper divisors (33302363136).

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

12917259264 is a wasteful number, since it uses less digits than its factorization.

12917259264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The spelling of 12917259264 in words is "twelve billion, nine hundred seventeen million, two hundred fifty-nine thousand, two hundred sixty-four".