1291725069696 has 256 divisors, whose sum is σ = 4187519424000. Its totient is φ = 390177368064.

The previous prime is 1291725069641. The next prime is 1291725069697. The reversal of 1291725069696 is 6969605271921.

1291725069696 is a `hidden beast` number, since 1 + 29 + 17 + 2 + 506 + 9 + 6 + 96 = 666.

It is a super-2 number, since 2×1291725069696² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291725069697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082626 + ... + 1937918.

It is an arithmetic number, because the mean of its divisors is an integer number (16357497750).

Almost surely, 2^{1291725069696} is an apocalyptic number.

1291725069696 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 1291725069696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093759712000).

1291725069696 is an abundant number, since it is smaller than the sum of its proper divisors (2895794354304).

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

1291725069696 is a wasteful number, since it uses less digits than its factorization.

1291725069696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855358 (or 855340 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 1291725069696 in words is "one trillion, two hundred ninety-one billion, seven hundred twenty-five million, sixty-nine thousand, six hundred ninety-six".