26880122880 has 672 divisors, whose sum is σ = 103047759360. Its totient is φ = 6440878080.

The previous prime is 26880122851. The next prime is 26880122887. The reversal of 26880122880 is 8822108862.

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

It is not an unprimeable number, because it can be changed into a prime (26880122887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340254681 + ... + 340254759.

It is an arithmetic number, because the mean of its divisors is an integer number (153344880).

Almost surely, 2^26880122880 is an apocalyptic number.

26880122880 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 26880122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51523879680).

26880122880 is an abundant number, since it is smaller than the sum of its proper divisors (76167636480).

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

26880122880 is a wasteful number, since it uses less digits than its factorization.

26880122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 26880122880 in words is "twenty-six billion, eight hundred eighty million, one hundred twenty-two thousand, eight hundred eighty".