26491851765120 has 256 divisors, whose sum is σ = 96513114816000. Its totient is φ = 6054835961856.

The previous prime is 26491851765101. The next prime is 26491851765151. The reversal of 26491851765120 is 2156715819462.

It is a super-2 number, since 2×26491851765120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204586156 + ... + 204715604.

It is an arithmetic number, because the mean of its divisors is an integer number (377004354750).

Almost surely, 2^{26491851765120} is an apocalyptic number.

26491851765120 is a gapful number since it is divisible by the number (20) 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 26491851765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48256557408000).

26491851765120 is an abundant number, since it is smaller than the sum of its proper divisors (70021263050880).

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

26491851765120 is a wasteful number, since it uses less digits than its factorization.

26491851765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144705 (or 144693 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 26491851765120 in words is "twenty-six trillion, four hundred ninety-one billion, eight hundred fifty-one million, seven hundred sixty-five thousand, one hundred twenty".