26008452138240 has 4608 divisors, whose sum is σ = 119688979415040. Its totient is φ = 5299126272000.

The previous prime is 26008452138233. The next prime is 26008452138241. The reversal of 26008452138240 is 4283125480062.

26008452138240 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 8 + 4 + 521 + 3 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26008452138241) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 426368067810 + ... + 426368067870.

It is an arithmetic number, because the mean of its divisors is an integer number (25974170880).

Almost surely, 2^{26008452138240} is an apocalyptic number.

26008452138240 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 26008452138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59844489707520).

26008452138240 is an abundant number, since it is smaller than the sum of its proper divisors (93680527276800).

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

26008452138240 is a wasteful number, since it uses less digits than its factorization.

26008452138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 26008452138240 in words is "twenty-six trillion, eight billion, four hundred fifty-two million, one hundred thirty-eight thousand, two hundred forty".