26784993900 has 144 divisors (see below), whose sum is σ = 88635326976. Its totient is φ = 6117703680.

The previous prime is 26784993881. The next prime is 26784993913. The reversal of 26784993900 is 939948762.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3370732 + ... + 3378668.

It is an arithmetic number, because the mean of its divisors is an integer number (615523104).

Almost surely, 2^26784993900 is an apocalyptic number.

26784993900 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 26784993900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44317663488).

26784993900 is an abundant number, since it is smaller than the sum of its proper divisors (61850333076).

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

26784993900 is a wasteful number, since it uses less digits than its factorization.

26784993900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 26784993900 in words is "twenty-six billion, seven hundred eighty-four million, nine hundred ninety-three thousand, nine hundred".