26577817968 has 80 divisors (see below), whose sum is σ = 74056260096. Its totient is φ = 8165026560.

The previous prime is 26577817963. The next prime is 26577817993. The reversal of 26577817968 is 86971877562.

It is a junction number, because it is equal to n+sod(n) for n = 26577817899 and 26577817908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26577817963) 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, 370813 + ... + 436643.

Almost surely, 2^26577817968 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 26577817968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37028130048).

26577817968 is an abundant number, since it is smaller than the sum of its proper divisors (47478442128).

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

26577817968 is a wasteful number, since it uses less digits than its factorization.

26577817968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66502 (or 66496 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 66.

The spelling of 26577817968 in words is "twenty-six billion, five hundred seventy-seven million, eight hundred seventeen thousand, nine hundred sixty-eight".