26516904288 has 144 divisors (see below), whose sum is σ = 81059212080. Its totient is φ = 7568031744.

The previous prime is 26516904257. The next prime is 26516904301. The reversal of 26516904288 is 88240961562.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 26516904288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5308320 + ... + 5313312.

It is an arithmetic number, because the mean of its divisors is an integer number (562911195).

Almost surely, 2^26516904288 is an apocalyptic number.

26516904288 is a gapful number since it is divisible by the number (28) 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 26516904288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40529606040).

26516904288 is an abundant number, since it is smaller than the sum of its proper divisors (54542307792).

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

26516904288 is a wasteful number, since it uses less digits than its factorization.

26516904288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6149 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 26516904288 in words is "twenty-six billion, five hundred sixteen million, nine hundred four thousand, two hundred eighty-eight".