26338113360 has 640 divisors, whose sum is σ = 102393446400. Its totient is φ = 6178498560.

The previous prime is 26338113341. The next prime is 26338113371. The reversal of 26338113360 is 6331183362.

26338113360 is a `hidden beast` number, since 2 + 633 + 8 + 1 + 13 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 68767729 + ... + 68768111.

It is an arithmetic number, because the mean of its divisors is an integer number (159989760).

Almost surely, 2^26338113360 is an apocalyptic number.

26338113360 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 26338113360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51196723200).

26338113360 is an abundant number, since it is smaller than the sum of its proper divisors (76055333040).

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

26338113360 is a wasteful number, since it uses less digits than its factorization.

26338113360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 26338113360 in words is "twenty-six billion, three hundred thirty-eight million, one hundred thirteen thousand, three hundred sixty".