26890930080 has 288 divisors, whose sum is σ = 106205299200. Its totient is φ = 6068514816.

The previous prime is 26890930049. The next prime is 26890930097. The reversal of 26890930080 is 8003909862.

26890930080 is a `hidden beast` number, since 268 + 9 + 0 + 9 + 300 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779436 + ... + 813204.

It is an arithmetic number, because the mean of its divisors is an integer number (368768400).

Almost surely, 2^26890930080 is an apocalyptic number.

26890930080 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 26890930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53102649600).

26890930080 is an abundant number, since it is smaller than the sum of its proper divisors (79314369120).

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

26890930080 is a wasteful number, since it uses less digits than its factorization.

26890930080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33876 (or 33865 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 26890930080 in words is "twenty-six billion, eight hundred ninety million, nine hundred thirty thousand, eighty".