26728530345 has 288 divisors, whose sum is σ = 57364070400. Its totient is φ = 11445477120.

The previous prime is 26728530331. The next prime is 26728530349. The reversal of 26728530345 is 54303582762.

26728530345 is a `hidden beast` number, since 2 + 6 + 72 + 8 + 530 + 3 + 45 = 666.

It is not a de Polignac number, because 26728530345 - 2⁷ = 26728530217 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26728530345.

It is not an unprimeable number, because it can be changed into a prime (26728530349) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 111834736 + ... + 111834974.

It is an arithmetic number, because the mean of its divisors is an integer number (199180800).

Almost surely, 2^26728530345 is an apocalyptic number.

It is an amenable number.

26728530345 is an abundant number, since it is smaller than the sum of its proper divisors (30635540055).

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

26728530345 is a wasteful number, since it uses less digits than its factorization.

26728530345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 26728530345 in words is "twenty-six billion, seven hundred twenty-eight million, five hundred thirty thousand, three hundred forty-five".