26480089728 has 80 divisors (see below), whose sum is σ = 78804348810. Its totient is φ = 8826693120.

The previous prime is 26480089717. The next prime is 26480089759. The reversal of 26480089728 is 82798008462.

It can be written as a sum of positive squares in only one way, i.e., 15894149184 + 10585940544 = 126072^2 + 102888^2 .

It is a super-2 number, since 2×26480089728² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1266643 + ... + 1287378.

Almost surely, 2^26480089728 is an apocalyptic number.

It is an amenable number.

26480089728 is an abundant number, since it is smaller than the sum of its proper divisors (52324259082).

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

26480089728 is an equidigital number, since it uses as much as digits as its factorization.

26480089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554047 (or 2554026 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 26480089728 in words is "twenty-six billion, four hundred eighty million, eighty-nine thousand, seven hundred twenty-eight".