26400342177 has 16 divisors (see below), whose sum is σ = 42667220160. Its totient is φ = 16000207200.

The previous prime is 26400342169. The next prime is 26400342191. The reversal of 26400342177 is 77124300462.

26400342177 is a `hidden beast` number, since 2 + 6 + 400 + 34 + 217 + 7 = 666.

It is not a de Polignac number, because 26400342177 - 2³ = 26400342169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26400342197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44444724 + ... + 44445317.

It is an arithmetic number, because the mean of its divisors is an integer number (2666701260).

Almost surely, 2^26400342177 is an apocalyptic number.

26400342177 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

26400342177 is a deficient number, since it is larger than the sum of its proper divisors (16266877983).

26400342177 is a wasteful number, since it uses less digits than its factorization.

26400342177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88890061 (or 88890055 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 26400342177 in words is "twenty-six billion, four hundred million, three hundred forty-two thousand, one hundred seventy-seven".