12593829989056 has 224 divisors, whose sum is σ = 27467778350592. Its totient is φ = 5704636170240.

The previous prime is 12593829989017. The next prime is 12593829989087. The reversal of 12593829989056 is 65098992839521.

It is a happy number.

It is a super-2 number, since 2×12593829989056² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2761197016 + ... + 2761201576.

Almost surely, 2^{12593829989056} is an apocalyptic number.

12593829989056 is a gapful number since it is divisible by the number (16) 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 12593829989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733889175296).

12593829989056 is an abundant number, since it is smaller than the sum of its proper divisors (14873948361536).

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

12593829989056 is a wasteful number, since it uses less digits than its factorization.

12593829989056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 76.

The spelling of 12593829989056 in words is "twelve trillion, five hundred ninety-three billion, eight hundred twenty-nine million, nine hundred eighty-nine thousand, fifty-six".