26689233780 has 288 divisors, whose sum is σ = 92230669440. Its totient is φ = 6401894400.

The previous prime is 26689233773. The next prime is 26689233811. The reversal of 26689233780 is 8733298662.

It is a happy number.

26689233780 is a `hidden beast` number, since 266 + 8 + 9 + 2 + 3 + 378 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 6335875 + ... + 6340085.

It is an arithmetic number, because the mean of its divisors is an integer number (320245380).

Almost surely, 2^26689233780 is an apocalyptic number.

26689233780 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 26689233780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46115334720).

26689233780 is an abundant number, since it is smaller than the sum of its proper divisors (65541435660).

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

26689233780 is a wasteful number, since it uses less digits than its factorization.

26689233780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 26689233780 in words is "twenty-six billion, six hundred eighty-nine million, two hundred thirty-three thousand, seven hundred eighty".