26381808000 has 512 divisors, whose sum is σ = 98011555200. Its totient is φ = 6974668800.

The previous prime is 26381807999. The next prime is 26381808007. The reversal of 26381808000 is 80818362.

26381808000 is a `hidden beast` number, since 2 + 638 + 18 + 0 + 8 + 0 + 0 + 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 not an unprimeable number, because it can be changed into a prime (26381808007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74735824 + ... + 74736176.

Almost surely, 2^26381808000 is an apocalyptic number.

26381808000 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 26381808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49005777600).

26381808000 is an abundant number, since it is smaller than the sum of its proper divisors (71629747200).

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

26381808000 is a wasteful number, since it uses less digits than its factorization.

26381808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 26381808000 in words is "twenty-six billion, three hundred eighty-one million, eight hundred eight thousand".