12552664114080 has 576 divisors, whose sum is σ = 47076569729280. Its totient is φ = 3031669555200.

The previous prime is 12552664114079. The next prime is 12552664114139. The reversal of 12552664114080 is 8041146625521.

12552664114080 is a `hidden beast` number, since 1 + 2 + 5 + 526 + 6 + 4 + 1 + 1 + 40 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1473140220 + ... + 1473148740.

It is an arithmetic number, because the mean of its divisors is an integer number (81730155780).

Almost surely, 2^{12552664114080} is an apocalyptic number.

12552664114080 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 12552664114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23538284864640).

12552664114080 is an abundant number, since it is smaller than the sum of its proper divisors (34523905615200).

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

12552664114080 is a wasteful number, since it uses less digits than its factorization.

12552664114080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10925 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 12552664114080 in words is "twelve trillion, five hundred fifty-two billion, six hundred sixty-four million, one hundred fourteen thousand, eighty".