12629094275840 has 288 divisors, whose sum is σ = 36332302110720. Its totient is φ = 4114968625152.

The previous prime is 12629094275783. The next prime is 12629094275947. The reversal of 12629094275840 is 4857249092621.

It is a self number, because there is not a number n which added to its sum of digits gives 12629094275840.

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, 13812401 + ... + 14698319.

Almost surely, 2^{12629094275840} is an apocalyptic number.

12629094275840 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 12629094275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18166151055360).

12629094275840 is an abundant number, since it is smaller than the sum of its proper divisors (23703207834880).

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

12629094275840 is an equidigital number, since it uses as much as digits as its factorization.

12629094275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886027 (or 886013 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 12629094275840 in words is "twelve trillion, six hundred twenty-nine billion, ninety-four million, two hundred seventy-five thousand, eight hundred forty".