26066026658100 has 576 divisors, whose sum is σ = 93884011038720. Its totient is φ = 5489337600000.

The previous prime is 26066026658051. The next prime is 26066026658117. The reversal of 26066026658100 is 185662066062.

It is a super-2 number, since 2×26066026658100² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26066026658100.

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 191 ways as a sum of consecutive naturals, for example, 122974210 + ... + 123185990.

It is an arithmetic number, because the mean of its divisors is an integer number (162993074720).

Almost surely, 2^{26066026658100} is an apocalyptic number.

26066026658100 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 26066026658100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46942005519360).

26066026658100 is an abundant number, since it is smaller than the sum of its proper divisors (67817984380620).

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

26066026658100 is a wasteful number, since it uses less digits than its factorization.

26066026658100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211992 (or 211985 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 26066026658100 in words is "twenty-six trillion, sixty-six billion, twenty-six million, six hundred fifty-eight thousand, one hundred".