26668323207040 has 128 divisors (see below), whose sum is σ = 64536104656800. Its totient is φ = 10536516575232.

The previous prime is 26668323207023. The next prime is 26668323207077. The reversal of 26668323207040 is 4070232386662.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26668323207040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255614406 + ... + 255718714.

Almost surely, 2^{26668323207040} is an apocalyptic number.

26668323207040 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 26668323207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32268052328400).

26668323207040 is an abundant number, since it is smaller than the sum of its proper divisors (37867781449760).

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

26668323207040 is a wasteful number, since it uses less digits than its factorization.

26668323207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109224 (or 109212 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

The spelling of 26668323207040 in words is "twenty-six trillion, six hundred sixty-eight billion, three hundred twenty-three million, two hundred seven thousand, forty".