1296110628736 has 512 divisors, whose sum is σ = 3451797504000. Its totient is φ = 469842616320.

The previous prime is 1296110628731. The next prime is 1296110628751. The reversal of 1296110628736 is 6378260116921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296110628731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2546386050 + ... + 2546386558.

It is an arithmetic number, because the mean of its divisors is an integer number (6741792000).

Almost surely, 2^{1296110628736} is an apocalyptic number.

1296110628736 is a gapful number since it is divisible by the number (16) 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 1296110628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725898752000).

1296110628736 is an abundant number, since it is smaller than the sum of its proper divisors (2155686875264).

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

1296110628736 is a wasteful number, since it uses less digits than its factorization.

1296110628736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 1296110628736 in words is "one trillion, two hundred ninety-six billion, one hundred ten million, six hundred twenty-eight thousand, seven hundred thirty-six".