26815255680 has 256 divisors, whose sum is σ = 88614662400. Its totient is φ = 6891651072.

The previous prime is 26815255669. The next prime is 26815255721. The reversal of 26815255680 is 8655251862.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 7741629 + ... + 7745091.

It is an arithmetic number, because the mean of its divisors is an integer number (346151025).

Almost surely, 2^26815255680 is an apocalyptic number.

26815255680 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 26815255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44307331200).

26815255680 is an abundant number, since it is smaller than the sum of its proper divisors (61799406720).

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

26815255680 is a wasteful number, since it uses less digits than its factorization.

26815255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 26815255680 in words is "twenty-six billion, eight hundred fifteen million, two hundred fifty-five thousand, six hundred eighty".