12628270080 has 264 divisors, whose sum is σ = 44323281600. Its totient is φ = 3323953152.

The previous prime is 12628270051. The next prime is 12628270087. The reversal of 12628270080 is 8007282621.

It is a happy number.

12628270080 is a `hidden beast` number, since 1 + 2 + 628 + 27 + 0 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12628270087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3638586 + ... + 3642054.

Almost surely, 2^12628270080 is an apocalyptic number.

12628270080 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 12628270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161640800).

12628270080 is an abundant number, since it is smaller than the sum of its proper divisors (31695011520).

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

12628270080 is a wasteful number, since it uses less digits than its factorization.

12628270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12628270080 in words is "twelve billion, six hundred twenty-eight million, two hundred seventy thousand, eighty".