26725358880 has 288 divisors, whose sum is σ = 99866789568. Its totient is φ = 6454425600.

The previous prime is 26725358873. The next prime is 26725358917. The reversal of 26725358880 is 8885352762.

26725358880 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 53 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 4384635 + ... + 4390725.

It is an arithmetic number, because the mean of its divisors is an integer number (346759686).

Almost surely, 2^26725358880 is an apocalyptic number.

26725358880 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 26725358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49933394784).

26725358880 is an abundant number, since it is smaller than the sum of its proper divisors (73141430688).

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

26725358880 is a wasteful number, since it uses less digits than its factorization.

26725358880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 26725358880 in words is "twenty-six billion, seven hundred twenty-five million, three hundred fifty-eight thousand, eight hundred eighty".