26823545280 has 336 divisors, whose sum is σ = 109349560320. Its totient is φ = 6130971648.

The previous prime is 26823545227. The next prime is 26823545327. The reversal of 26823545280 is 8254532862.

26823545280 is a `hidden beast` number, since 2 + 6 + 8 + 23 + 545 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 519681 + ... + 568959.

It is an arithmetic number, because the mean of its divisors is an integer number (325445120).

Almost surely, 2^26823545280 is an apocalyptic number.

26823545280 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 26823545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54674780160).

26823545280 is an abundant number, since it is smaller than the sum of its proper divisors (82526015040).

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

26823545280 is an equidigital number, since it uses as much as digits as its factorization.

26823545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49318 (or 49296 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 26823545280 in words is "twenty-six billion, eight hundred twenty-three million, five hundred forty-five thousand, two hundred eighty".