12759145417984 has 360 divisors, whose sum is σ = 30776346834688. Its totient is φ = 5273453445120.

The previous prime is 12759145417979. The next prime is 12759145418017. The reversal of 12759145417984 is 48971454195721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6421310239 + ... + 6421312225.

Almost surely, 2^{12759145417984} is an apocalyptic number.

12759145417984 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 12759145417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15388173417344).

12759145417984 is an abundant number, since it is smaller than the sum of its proper divisors (18017201416704).

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

12759145417984 is an frugal number, since it uses more digits than its factorization.

12759145417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2364 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 67.

The spelling of 12759145417984 in words is "twelve trillion, seven hundred fifty-nine billion, one hundred forty-five million, four hundred seventeen thousand, nine hundred eighty-four".