26345605077 has 64 divisors (see below), whose sum is σ = 42984268800. Its totient is φ = 15815684160.

The previous prime is 26345605057. The next prime is 26345605103. The reversal of 26345605077 is 77050654362.

26345605077 is a `hidden beast` number, since 2 + 6 + 34 + 5 + 605 + 0 + 7 + 7 = 666.

It is not a de Polignac number, because 26345605077 - 2¹⁰ = 26345604053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26345605057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18056574 + ... + 18058032.

It is an arithmetic number, because the mean of its divisors is an integer number (671629200).

Almost surely, 2^26345605077 is an apocalyptic number.

26345605077 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

26345605077 is a deficient number, since it is larger than the sum of its proper divisors (16638663723).

26345605077 is a wasteful number, since it uses less digits than its factorization.

26345605077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 26345605077 in words is "twenty-six billion, three hundred forty-five million, six hundred five thousand, seventy-seven".