26611540405101 has 12 divisors (see below), whose sum is σ = 38440220620828. Its totient is φ = 17740413586944.

The previous prime is 26611540405097. The next prime is 26611540405127. The reversal of 26611540405101 is 10150404511662.

26611540405101 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 1 + 540 + 4 + 0 + 5 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20425744665225 + 6185795739876 = 4519485^2 + 2487126^2 .

It is not a de Polignac number, because 26611540405101 - 2² = 26611540405097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26611540405001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50837620 + ... + 51358413.

Almost surely, 2^{26611540405101} is an apocalyptic number.

It is an amenable number.

26611540405101 is a deficient number, since it is larger than the sum of its proper divisors (11828680215727).

26611540405101 is a wasteful number, since it uses less digits than its factorization.

26611540405101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102224972 (or 102224969 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 26611540405101 its reverse (10150404511662), we get a palindrome (36761944916763).

The spelling of 26611540405101 in words is "twenty-six trillion, six hundred eleven billion, five hundred forty million, four hundred five thousand, one hundred one".