12642254254080 has 416 divisors, whose sum is σ = 49030660235520. Its totient is φ = 3064787435520.

The previous prime is 12642254254073. The next prime is 12642254254111. The reversal of 12642254254080 is 8045245224621.

12642254254080 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 25 + 4 + 2 + 540 + 80 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5043339 + ... + 7121781.

Almost surely, 2^{12642254254080} is an apocalyptic number.

12642254254080 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 12642254254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24515330117760).

12642254254080 is an abundant number, since it is smaller than the sum of its proper divisors (36388405981440).

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

12642254254080 is a wasteful number, since it uses less digits than its factorization.

12642254254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078492 (or 2078464 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 12642254254080 in words is "twelve trillion, six hundred forty-two billion, two hundred fifty-four million, two hundred fifty-four thousand, eighty".