26668002263040 has 1320 divisors, whose sum is σ = 99257684992200. Its totient is φ = 6872827428864.

The previous prime is 26668002263039. The next prime is 26668002263047. The reversal of 26668002263040 is 4036220086662.

It can be written as a sum of positive squares in 4 ways, for example, as 2821109907456 + 23846892355584 = 1679616^2 + 4883328^2 .

It is a super-2 number, since 2×26668002263040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26668002263047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 178979880886 + ... + 178979881034.

Almost surely, 2^{26668002263040} is an apocalyptic number.

26668002263040 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 26668002263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49628842496100).

26668002263040 is an abundant number, since it is smaller than the sum of its proper divisors (72589682729160).

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

26668002263040 is an frugal number, since it uses more digits than its factorization.

26668002263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 26668002263040 in words is "twenty-six trillion, six hundred sixty-eight billion, two million, two hundred sixty-three thousand, forty".