12628682169600 has 432 divisors, whose sum is σ = 47651960440448. Its totient is φ = 2885296619520.

The previous prime is 12628682169511. The next prime is 12628682169641. The reversal of 12628682169600 is 696128682621.

It is a happy number.

It is a super-2 number, since 2×12628682169600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327513522 + ... + 327552078.

Almost surely, 2^{12628682169600} is an apocalyptic number.

12628682169600 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 12628682169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23825980220224).

12628682169600 is an abundant number, since it is smaller than the sum of its proper divisors (35023278270848).

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

12628682169600 is a wasteful number, since it uses less digits than its factorization.

12628682169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41030 (or 41011 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 12628682169600 in words is "twelve trillion, six hundred twenty-eight billion, six hundred eighty-two million, one hundred sixty-nine thousand, six hundred".