26957608961 has 2 divisors, whose sum is σ = 26957608962. Its totient is φ = 26957608960.

The previous prime is 26957608949. The next prime is 26957608969. The reversal of 26957608961 is 16980675962.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17593369600 + 9364239361 = 132640^2 + 96769^2 .

It is a cyclic number.

It is not a de Polignac number, because 26957608961 - 2¹⁴ = 26957592577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26957608961.

It is not a weakly prime, because it can be changed into another prime (26957608969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13478804480 + 13478804481.

It is an arithmetic number, because the mean of its divisors is an integer number (13478804481).

Almost surely, 2^26957608961 is an apocalyptic number.

It is an amenable number.

26957608961 is a deficient number, since it is larger than the sum of its proper divisors (1).

26957608961 is an equidigital number, since it uses as much as digits as its factorization.

26957608961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9797760, while the sum is 59.

The spelling of 26957608961 in words is "twenty-six billion, nine hundred fifty-seven million, six hundred eight thousand, nine hundred sixty-one".