26138225664 has 220 divisors, whose sum is σ = 79061690400. Its totient is φ = 8600297472.

The previous prime is 26138225621. The next prime is 26138225669. The reversal of 26138225664 is 46652283162.

26138225664 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 82 + 2 + 566 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (26138225669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6550582 + ... + 6554570.

It is an arithmetic number, because the mean of its divisors is an integer number (359371320).

Almost surely, 2^26138225664 is an apocalyptic number.

26138225664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26138225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39530845200).

26138225664 is an abundant number, since it is smaller than the sum of its proper divisors (52923464736).

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

26138225664 is an equidigital number, since it uses as much as digits as its factorization.

26138225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4073 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 26138225664 in words is "twenty-six billion, one hundred thirty-eight million, two hundred twenty-five thousand, six hundred sixty-four".