26661162401 has 2 divisors, whose sum is σ = 26661162402. Its totient is φ = 26661162400.

The previous prime is 26661162377. The next prime is 26661162403. The reversal of 26661162401 is 10426116662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19265162401 + 7396000000 = 138799^2 + 86000^2 .

It is a cyclic number.

It is not a de Polignac number, because 26661162401 - 2¹⁸ = 26660900257 is a prime.

Together with 26661162403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (26661162403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13330581200 + 13330581201.

It is an arithmetic number, because the mean of its divisors is an integer number (13330581201).

Almost surely, 2^26661162401 is an apocalyptic number.

It is an amenable number.

26661162401 is a deficient number, since it is larger than the sum of its proper divisors (1).

26661162401 is an equidigital number, since it uses as much as digits as its factorization.

26661162401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 26661162401 in words is "twenty-six billion, six hundred sixty-one million, one hundred sixty-two thousand, four hundred one".