26671440100 has 72 divisors (see below), whose sum is σ = 58729631688. Its totient is φ = 10512384000.

The previous prime is 26671440083. The next prime is 26671440109. The reversal of 26671440100 is 104417662.

It can be written as a sum of positive squares in 12 ways, for example, as 11160232164 + 15511207936 = 105642^2 + 124544^2 .

It is a super-2 number, since 2×26671440100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26671440109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2254200 + ... + 2266000.

It is an arithmetic number, because the mean of its divisors is an integer number (815689329).

Almost surely, 2^26671440100 is an apocalyptic number.

26671440100 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 26671440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29364815844).

26671440100 is an abundant number, since it is smaller than the sum of its proper divisors (32058191588).

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

26671440100 is a wasteful number, since it uses less digits than its factorization.

26671440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12145 (or 12138 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 26671440100 its reverse (104417662), we get a palindrome (26775857762).

The spelling of 26671440100 in words is "twenty-six billion, six hundred seventy-one million, four hundred forty thousand, one hundred".