26526643440 has 160 divisors (see below), whose sum is σ = 89871033600. Its totient is φ = 6419036160.

The previous prime is 26526643439. The next prime is 26526643457. The reversal of 26526643440 is 4434662562.

It is a junction number, because it is equal to n+sod(n) for n = 26526643392 and 26526643401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493331 + ... + 1510989.

It is an arithmetic number, because the mean of its divisors is an integer number (561693960).

Almost surely, 2^26526643440 is an apocalyptic number.

26526643440 is a gapful number since it is divisible by the number (20) 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 26526643440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44935516800).

26526643440 is an abundant number, since it is smaller than the sum of its proper divisors (63344390160).

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

26526643440 is a wasteful number, since it uses less digits than its factorization.

26526643440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18255 (or 18249 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

It can be divided in two parts, 26526 and 643440, that added together give a palindrome (669966).

The spelling of 26526643440 in words is "twenty-six billion, five hundred twenty-six million, six hundred forty-three thousand, four hundred forty".