12893556593664 has 264 divisors, whose sum is σ = 38038623467520. Its totient is φ = 4205227622400.

The previous prime is 12893556593651. The next prime is 12893556593759. The reversal of 12893556593664 is 46639565539821.

12893556593664 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 3 + 556 + 5 + 9 + 3 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12893556593592 and 12893556593601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107315577 + ... + 107435655.

Almost surely, 2^{12893556593664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12893556593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019311733760).

12893556593664 is an abundant number, since it is smaller than the sum of its proper divisors (25145066873856).

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

12893556593664 is a wasteful number, since it uses less digits than its factorization.

12893556593664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120357 (or 120336 counting only the distinct ones).

The product of its digits is 1259712000, while the sum is 72.

The spelling of 12893556593664 in words is "twelve trillion, eight hundred ninety-three billion, five hundred fifty-six million, five hundred ninety-three thousand, six hundred sixty-four".