1295917351680 has 288 divisors, whose sum is σ = 4783254336000. Its totient is φ = 292880941056.

The previous prime is 1295917351643. The next prime is 1295917351681. The reversal of 1295917351680 is 861537195921.

It is a self number, because there is not a number n which added to its sum of digits gives 1295917351680.

It is not an unprimeable number, because it can be changed into a prime (1295917351681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2121471 + ... + 2663169.

It is an arithmetic number, because the mean of its divisors is an integer number (16608522000).

Almost surely, 2^{1295917351680} is an apocalyptic number.

1295917351680 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 1295917351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391627168000).

1295917351680 is an abundant number, since it is smaller than the sum of its proper divisors (3487336984320).

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

1295917351680 is an equidigital number, since it uses as much as digits as its factorization.

1295917351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541819 (or 541805 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 1295917351680 in words is "one trillion, two hundred ninety-five billion, nine hundred seventeen million, three hundred fifty-one thousand, six hundred eighty".