12666031560 has 1440 divisors, whose sum is σ = 59597528760. Its totient is φ = 2382815232.

The previous prime is 12666031517. The next prime is 12666031571. The reversal of 12666031560 is 6513066621.

It can be written as a sum of positive squares in 4 ways, for example, as 9634207716 + 3031823844 = 98154^2 + 55062^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 666633231 + ... + 666633249.

Almost surely, 2^12666031560 is an apocalyptic number.

12666031560 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 12666031560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29798764380).

12666031560 is an abundant number, since it is smaller than the sum of its proper divisors (46931497200).

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

12666031560 is a wasteful number, since it uses less digits than its factorization.

12666031560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12666031560 in words is "twelve billion, six hundred sixty-six million, thirty-one thousand, five hundred sixty".