26289179440 has 80 divisors (see below), whose sum is σ = 64752462720. Its totient is φ = 9891799040.

The previous prime is 26289179387. The next prime is 26289179489. The reversal of 26289179440 is 4497198262.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×26289179440² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 3315801 + ... + 3323719.

It is an arithmetic number, because the mean of its divisors is an integer number (809405784).

Almost surely, 2^26289179440 is an apocalyptic number.

26289179440 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 26289179440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32376231360).

26289179440 is an abundant number, since it is smaller than the sum of its proper divisors (38463283280).

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

26289179440 is a wasteful number, since it uses less digits than its factorization.

26289179440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10384 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 26289179440 in words is "twenty-six billion, two hundred eighty-nine million, one hundred seventy-nine thousand, four hundred forty".