12981450575520 has 240 divisors, whose sum is σ = 52358517687168. Its totient is φ = 2967188682240.

The previous prime is 12981450575503. The next prime is 12981450575521. The reversal of 12981450575520 is 2557505418921.

It is a happy number.

12981450575520 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 1 + 45 + 0 + 5 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12981450575521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71456076 + ... + 71637515.

Almost surely, 2^{12981450575520} is an apocalyptic number.

12981450575520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12981450575520 is an abundant number, since it is smaller than the sum of its proper divisors (39377067111648).

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

12981450575520 is a wasteful number, since it uses less digits than its factorization.

12981450575520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143093625 (or 143093608 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 12981450575520 in words is "twelve trillion, nine hundred eighty-one billion, four hundred fifty million, five hundred seventy-five thousand, five hundred twenty".