26080142234328 has 1024 divisors, whose sum is σ = 95424086016000. Its totient is φ = 6404296679424.

The previous prime is 26080142234323. The next prime is 26080142234389. The reversal of 26080142234328 is 82343224108062.

26080142234328 is a `hidden beast` number, since 2 + 6 + 0 + 80 + 14 + 2 + 234 + 328 = 666.

It is a super-2 number, since 2×26080142234328² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26080142234323) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20327467975 + ... + 20327469257.

It is an arithmetic number, because the mean of its divisors is an integer number (93187584000).

Almost surely, 2^{26080142234328} is an apocalyptic number.

26080142234328 is a gapful number since it is divisible by the number (28) 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 26080142234328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47712043008000).

26080142234328 is an abundant number, since it is smaller than the sum of its proper divisors (69343943781672).

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

26080142234328 is a wasteful number, since it uses less digits than its factorization.

26080142234328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 26080142234328 in words is "twenty-six trillion, eighty billion, one hundred forty-two million, two hundred thirty-four thousand, three hundred twenty-eight".