26850128544 has 144 divisors (see below), whose sum is σ = 78509307240. Its totient is φ = 8699166720.

The previous prime is 26850128537. The next prime is 26850128551. The reversal of 26850128544 is 44582105862.

26850128544 is a `hidden beast` number, since 2 + 6 + 85 + 0 + 1 + 28 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (26850128537) and next prime (26850128551).

It can be written as a sum of positive squares in 4 ways, for example, as 5244656400 + 21605472144 = 72420^2 + 146988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26850128544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3266712 + ... + 3274920.

Almost surely, 2^26850128544 is an apocalyptic number.

26850128544 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 26850128544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39254653620).

26850128544 is an abundant number, since it is smaller than the sum of its proper divisors (51659178696).

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

26850128544 is a wasteful number, since it uses less digits than its factorization.

26850128544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8543 (or 8532 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 26850128544 in words is "twenty-six billion, eight hundred fifty million, one hundred twenty-eight thousand, five hundred forty-four".