26680000480 has 96 divisors (see below), whose sum is σ = 72089063424. Its totient is φ = 9140691456.

The previous prime is 26680000471. The next prime is 26680000499. The reversal of 26680000480 is 8400008662.

It is a super-2 number, since 2×26680000480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1652929 + ... + 1668991.

It is an arithmetic number, because the mean of its divisors is an integer number (750927744).

Almost surely, 2^26680000480 is an apocalyptic number.

26680000480 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 26680000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36044531712).

26680000480 is an abundant number, since it is smaller than the sum of its proper divisors (45409062944).

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

26680000480 is a wasteful number, since it uses less digits than its factorization.

26680000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17568 (or 17560 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 26680000480 in words is "twenty-six billion, six hundred eighty million, four hundred eighty", and thus it is an aban number.