26979110466 has 256 divisors, whose sum is σ = 76082872320. Its totient is φ = 6160896000.

The previous prime is 26979110453. The next prime is 26979110519. The reversal of 26979110466 is 66401197962.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7058836 + ... + 7062656.

It is an arithmetic number, because the mean of its divisors is an integer number (297198720).

Almost surely, 2^26979110466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26979110466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38041436160).

26979110466 is an abundant number, since it is smaller than the sum of its proper divisors (49103761854).

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

26979110466 is a wasteful number, since it uses less digits than its factorization.

26979110466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921.

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 26979110466 in words is "twenty-six billion, nine hundred seventy-nine million, one hundred ten thousand, four hundred sixty-six".