26377072128 has 120 divisors (see below), whose sum is σ = 83046722616. Its totient is φ = 7993036800.

The previous prime is 26377072123. The next prime is 26377072157. The reversal of 26377072128 is 82127077362.

26377072128 is a `hidden beast` number, since 2 + 637 + 7 + 0 + 7 + 2 + 1 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26377072123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209503 + ... + 310878.

Almost surely, 2^26377072128 is an apocalyptic number.

It is an amenable number.

26377072128 is an abundant number, since it is smaller than the sum of its proper divisors (56669650488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26377072128 is a wasteful number, since it uses less digits than its factorization.

26377072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520416 (or 520397 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 26377072128 in words is "twenty-six billion, three hundred seventy-seven million, seventy-two thousand, one hundred twenty-eight".