26679980880 has 960 divisors, whose sum is σ = 118552412160. Its totient is φ = 5428518912.

The previous prime is 26679980879. The next prime is 26679980893. The reversal of 26679980880 is 8808997662.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 43953537 + ... + 43954143.

It is an arithmetic number, because the mean of its divisors is an integer number (123492096).

Almost surely, 2^26679980880 is an apocalyptic number.

26679980880 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 26679980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59276206080).

26679980880 is an abundant number, since it is smaller than the sum of its proper divisors (91872431280).

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

26679980880 is a wasteful number, since it uses less digits than its factorization.

26679980880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 26679980880 in words is "twenty-six billion, six hundred seventy-nine million, nine hundred eighty thousand, eight hundred eighty".