26416164544 has 224 divisors, whose sum is σ = 70817573376. Its totient is φ = 9460039680.

The previous prime is 26416164499. The next prime is 26416164581. The reversal of 26416164544 is 44546161462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 26416164544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3598702 + ... + 3606034.

Almost surely, 2^26416164544 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 26416164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35408786688).

26416164544 is an abundant number, since it is smaller than the sum of its proper divisors (44401408832).

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

26416164544 is a wasteful number, since it uses less digits than its factorization.

26416164544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7413 counting only the distinct ones).

The product of its digits is 552960, while the sum is 43.

The spelling of 26416164544 in words is "twenty-six billion, four hundred sixteen million, one hundred sixty-four thousand, five hundred forty-four".