26387232827440 has 320 divisors, whose sum is σ = 69154106711040. Its totient is φ = 9304662343680.

The previous prime is 26387232827413. The next prime is 26387232827479. The reversal of 26387232827440 is 4472823278362.

26387232827440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1706026587 + ... + 1706042053.

It is an arithmetic number, because the mean of its divisors is an integer number (216106583472).

Almost surely, 2^{26387232827440} is an apocalyptic number.

26387232827440 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 26387232827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34577053355520).

26387232827440 is an abundant number, since it is smaller than the sum of its proper divisors (42766873883600).

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

26387232827440 is a wasteful number, since it uses less digits than its factorization.

26387232827440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260 (or 16254 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 58.

The spelling of 26387232827440 in words is "twenty-six trillion, three hundred eighty-seven billion, two hundred thirty-two million, eight hundred twenty-seven thousand, four hundred forty".