26952564912 has 480 divisors, whose sum is σ = 93455685120. Its totient is φ = 6496174080.

The previous prime is 26952564911. The next prime is 26952564959. The reversal of 26952564912 is 21946525962.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26952564911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302837764 + ... + 302837852.

It is an arithmetic number, because the mean of its divisors is an integer number (194699344).

Almost surely, 2^26952564912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26952564912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46727842560).

26952564912 is an abundant number, since it is smaller than the sum of its proper divisors (66503120208).

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

26952564912 is a wasteful number, since it uses less digits than its factorization.

26952564912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 174 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The spelling of 26952564912 in words is "twenty-six billion, nine hundred fifty-two million, five hundred sixty-four thousand, nine hundred twelve".