12604335644160 has 1280 divisors, whose sum is σ = 51553920337920. Its totient is φ = 2891388026880.

The previous prime is 12604335644113. The next prime is 12604335644171. The reversal of 12604335644160 is 6144653340621.

12604335644160 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 43 + 3 + 564 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1573374555 + ... + 1573382565.

It is an arithmetic number, because the mean of its divisors is an integer number (40276500264).

Almost surely, 2^{12604335644160} is an apocalyptic number.

12604335644160 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 12604335644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25776960168960).

12604335644160 is an abundant number, since it is smaller than the sum of its proper divisors (38949584693760).

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

12604335644160 is a wasteful number, since it uses less digits than its factorization.

12604335644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 12604335644160 its reverse (6144653340621), we get a palindrome (18748988984781).

The spelling of 12604335644160 in words is "twelve trillion, six hundred four billion, three hundred thirty-five million, six hundred forty-four thousand, one hundred sixty".