26266483837440 has 5760 divisors, whose sum is σ = 130750831411200. Its totient is φ = 5003911987200.

The previous prime is 26266483837303. The next prime is 26266483837441. The reversal of 26266483837440 is 4473838466262.

26266483837440 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 6 + 483 + 83 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26266483837441) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 847305930225 + ... + 847305930255.

It is an arithmetic number, because the mean of its divisors is an integer number (22699797120).

Almost surely, 2^{26266483837440} is an apocalyptic number.

26266483837440 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 26266483837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65375415705600).

26266483837440 is an abundant number, since it is smaller than the sum of its proper divisors (104484347573760).

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

26266483837440 is an equidigital number, since it uses as much as digits as its factorization.

26266483837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 26266483837440 in words is "twenty-six trillion, two hundred sixty-six billion, four hundred eighty-three million, eight hundred thirty-seven thousand, four hundred forty".