26801313137424 has 800 divisors, whose sum is σ = 93107896713216. Its totient is φ = 7282400670720.

The previous prime is 26801313137411. The next prime is 26801313137429. The reversal of 26801313137424 is 42473131310862.

It is a happy number.

26801313137424 is a `hidden beast` number, since 2 + 6 + 80 + 1 + 3 + 13 + 137 + 424 = 666.

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 26801313137424.

It is not an unprimeable number, because it can be changed into a prime (26801313137429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3821658142 + ... + 3821665154.

Almost surely, 2^{26801313137424} is an apocalyptic number.

26801313137424 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 26801313137424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46553948356608).

26801313137424 is an abundant number, since it is smaller than the sum of its proper divisors (66306583575792).

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

26801313137424 is a wasteful number, since it uses less digits than its factorization.

26801313137424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26801313137424 in words is "twenty-six trillion, eight hundred one billion, three hundred thirteen million, one hundred thirty-seven thousand, four hundred twenty-four".