26786833920 has 960 divisors, whose sum is σ = 120913689600. Its totient is φ = 5558353920.

The previous prime is 26786833867. The next prime is 26786833949. The reversal of 26786833920 is 2933868762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37255321 + ... + 37256039.

It is an arithmetic number, because the mean of its divisors is an integer number (125951760).

Almost surely, 2^26786833920 is an apocalyptic number.

26786833920 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 26786833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60456844800).

26786833920 is an abundant number, since it is smaller than the sum of its proper divisors (94126855680).

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

26786833920 is a wasteful number, since it uses less digits than its factorization.

26786833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 747 counting only the distinct ones).

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

The spelling of 26786833920 in words is "twenty-six billion, seven hundred eighty-six million, eight hundred thirty-three thousand, nine hundred twenty".