12594684960 has 576 divisors, whose sum is σ = 52148468736. Its totient is φ = 2726092800.

The previous prime is 12594684943. The next prime is 12594685003. The reversal of 12594684960 is 6948649521.

12594684960 is a `hidden beast` number, since 1 + 2 + 5 + 94 + 68 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12594684897 and 12594684906.

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, 6382534 + ... + 6384506.

It is an arithmetic number, because the mean of its divisors is an integer number (90535536).

Almost surely, 2^12594684960 is an apocalyptic number.

12594684960 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 12594684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26074234368).

12594684960 is an abundant number, since it is smaller than the sum of its proper divisors (39553783776).

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

12594684960 is a wasteful number, since it uses less digits than its factorization.

12594684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12594684960 in words is "twelve billion, five hundred ninety-four million, six hundred eighty-four thousand, nine hundred sixty".