12945242880 has 576 divisors, whose sum is σ = 48694947840. Its totient is φ = 3251404800.

The previous prime is 12945242819. The next prime is 12945242897. The reversal of 12945242880 is 8824254921.

12945242880 is a `hidden beast` number, since 1 + 29 + 4 + 524 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46068340 + ... + 46068620.

It is an arithmetic number, because the mean of its divisors is an integer number (84539840).

Almost surely, 2^12945242880 is an apocalyptic number.

12945242880 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 12945242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24347473920).

12945242880 is an abundant number, since it is smaller than the sum of its proper divisors (35749704960).

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

12945242880 is a wasteful number, since it uses less digits than its factorization.

12945242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12945242880 in words is "twelve billion, nine hundred forty-five million, two hundred forty-two thousand, eight hundred eighty".