26677168128 has 768 divisors, whose sum is σ = 94112928000. Its totient is φ = 7389315072.

The previous prime is 26677168123. The next prime is 26677168129. The reversal of 26677168128 is 82186177662.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26677168123) 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 63 ways as a sum of consecutive naturals, for example, 452155363 + ... + 452155421.

It is an arithmetic number, because the mean of its divisors is an integer number (122542875).

Almost surely, 2^26677168128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26677168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464000).

26677168128 is an abundant number, since it is smaller than the sum of its proper divisors (67435759872).

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

26677168128 is a wasteful number, since it uses less digits than its factorization.

26677168128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 26677168128 in words is "twenty-six billion, six hundred seventy-seven million, one hundred sixty-eight thousand, one hundred twenty-eight".