26665938491040 has 1152 divisors, whose sum is σ = 101165375001600. Its totient is φ = 6557061611520.

The previous prime is 26665938490999. The next prime is 26665938491051. The reversal of 26665938491040 is 4019483956662.

It is a super-2 number, since 2×26665938491040² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25665002841 + ... + 25665003879.

It is an arithmetic number, because the mean of its divisors is an integer number (87817165800).

Almost surely, 2^{26665938491040} is an apocalyptic number.

26665938491040 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 26665938491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50582687500800).

26665938491040 is an abundant number, since it is smaller than the sum of its proper divisors (74499436510560).

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

26665938491040 is a wasteful number, since it uses less digits than its factorization.

26665938491040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 26665938491040 in words is "twenty-six trillion, six hundred sixty-five billion, nine hundred thirty-eight million, four hundred ninety-one thousand, forty".