1296627328000 has 528 divisors, whose sum is σ = 3409423460352. Its totient is φ = 491968512000.

The previous prime is 1296627327967. The next prime is 1296627328057. The reversal of 1296627328000 is 8237266921.

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, 10209663937 + ... + 10209664063.

Almost surely, 2^{1296627328000} is an apocalyptic number.

1296627328000 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 1296627328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704711730176).

1296627328000 is an abundant number, since it is smaller than the sum of its proper divisors (2112796132352).

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

1296627328000 is an equidigital number, since it uses as much as digits as its factorization.

1296627328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 1296627328000 in words is "one trillion, two hundred ninety-six billion, six hundred twenty-seven million, three hundred twenty-eight thousand".