26788091904 has 960 divisors, whose sum is σ = 102745843200. Its totient is φ = 6773538816.

The previous prime is 26788091861. The next prime is 26788091951. The reversal of 26788091904 is 40919088762.

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 79 ways as a sum of consecutive naturals, for example, 454035427 + ... + 454035485.

It is an arithmetic number, because the mean of its divisors is an integer number (107026920).

Almost surely, 2^26788091904 is an apocalyptic number.

26788091904 is a gapful number since it is divisible by the number (24) 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 26788091904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51372921600).

26788091904 is an abundant number, since it is smaller than the sum of its proper divisors (75957751296).

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

26788091904 is a wasteful number, since it uses less digits than its factorization.

26788091904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 26788091904 in words is "twenty-six billion, seven hundred eighty-eight million, ninety-one thousand, nine hundred four".