12645893576960 has 288 divisors, whose sum is σ = 35384179138560. Its totient is φ = 4240818855936.

The previous prime is 12645893576957. The next prime is 12645893576963. The reversal of 12645893576960 is 6967539854621.

It is an interprime number because it is at equal distance from previous prime (12645893576957) and next prime (12645893576963).

It is not an unprimeable number, because it can be changed into a prime (12645893576963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75655397 + ... + 75822363.

It is an arithmetic number, because the mean of its divisors is an integer number (122861733120).

It is a 1-persistent number, because it is pandigital, but 2⋅12645893576960 = 25291787153920 is not.

Almost surely, 2^{12645893576960} is an apocalyptic number.

12645893576960 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 12645893576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692089569280).

12645893576960 is an abundant number, since it is smaller than the sum of its proper divisors (22738285561600).

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

12645893576960 is a wasteful number, since it uses less digits than its factorization.

12645893576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167181 (or 167167 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 71.

The spelling of 12645893576960 in words is "twelve trillion, six hundred forty-five billion, eight hundred ninety-three million, five hundred seventy-six thousand, nine hundred sixty".