1291714654560 has 1152 divisors, whose sum is σ = 4941363087360. Its totient is φ = 280730419200.

The previous prime is 1291714654543. The next prime is 1291714654591. The reversal of 1291714654560 is 654564171921.

It is a happy number.

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, 2997017545 + ... + 2997017975.

It is an arithmetic number, because the mean of its divisors is an integer number (4289377680).

Almost surely, 2^{1291714654560} is an apocalyptic number.

1291714654560 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 1291714654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470681543680).

1291714654560 is an abundant number, since it is smaller than the sum of its proper divisors (3649648432800).

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

1291714654560 is a wasteful number, since it uses less digits than its factorization.

1291714654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 1291714654560 in words is "one trillion, two hundred ninety-one billion, seven hundred fourteen million, six hundred fifty-four thousand, five hundred sixty".