26271712925440 has 432 divisors, whose sum is σ = 65963781505440. Its totient is φ = 10024153251840.

The previous prime is 26271712925413. The next prime is 26271712925533. The reversal of 26271712925440 is 4452921717262.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50425552380 + ... + 50425552900.

It is an arithmetic number, because the mean of its divisors is an integer number (152693938670).

Almost surely, 2^{26271712925440} is an apocalyptic number.

26271712925440 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 26271712925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32981890752720).

26271712925440 is an abundant number, since it is smaller than the sum of its proper divisors (39692068580000).

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

26271712925440 is a wasteful number, since it uses less digits than its factorization.

26271712925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 26271712925440 in words is "twenty-six trillion, two hundred seventy-one billion, seven hundred twelve million, nine hundred twenty-five thousand, four hundred forty".