1296517985280 has 2112 divisors, whose sum is σ = 5786531654400. Its totient is φ = 276908212224.

The previous prime is 1296517985251. The next prime is 1296517985311. The reversal of 1296517985280 is 825897156921.

1296517985280 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 5 + 17 + 98 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9327467451 + ... + 9327467589.

Almost surely, 2^{1296517985280} is an apocalyptic number.

1296517985280 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 1296517985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893265827200).

1296517985280 is an abundant number, since it is smaller than the sum of its proper divisors (4490013669120).

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

1296517985280 is an equidigital number, since it uses as much as digits as its factorization.

1296517985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 1296517985280 in words is "one trillion, two hundred ninety-six billion, five hundred seventeen million, nine hundred eighty-five thousand, two hundred eighty".