26300056066100 has 144 divisors (see below), whose sum is σ = 59434939430832. Its totient is φ = 10092902400000.

The previous prime is 26300056066093. The next prime is 26300056066103. The reversal of 26300056066100 is 166065000362.

It can be written as a sum of positive squares in 24 ways, for example, as 25478487854884 + 821568211216 = 5047622^2 + 906404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26300056066103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470829160 + ... + 1470847040.

Almost surely, 2^{26300056066100} is an apocalyptic number.

26300056066100 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 26300056066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29717469715416).

26300056066100 is an abundant number, since it is smaller than the sum of its proper divisors (33134883364732).

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

26300056066100 is a wasteful number, since it uses less digits than its factorization.

26300056066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23878 (or 23871 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 26300056066100 in words is "twenty-six trillion, three hundred billion, fifty-six million, sixty-six thousand, one hundred".