26181828864 has 81 divisors (see below), whose sum is σ = 75511067359. Its totient is φ = 8724687360.

The previous prime is 26181828857. The next prime is 26181828899. The reversal of 26181828864 is 46882818162.

The square root of 26181828864 is 161808.

It is a perfect power (a square), and thus also a powerful number.

26181828864 is a `hidden beast` number, since 2 + 618 + 18 + 2 + 8 + 8 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26181828864.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7765099 + ... + 7768469.

Almost surely, 2^26181828864 is an apocalyptic number.

26181828864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26181828864 is the 161808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26181828864

26181828864 is an abundant number, since it is smaller than the sum of its proper divisors (49329238495).

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

26181828864 is an frugal number, since it uses more digits than its factorization.

26181828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764 (or 3376 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 26181828864 in words is "twenty-six billion, one hundred eighty-one million, eight hundred twenty-eight thousand, eight hundred sixty-four".