26820659264 has 112 divisors (see below), whose sum is σ = 61748090880. Its totient is φ = 11320957440.

The previous prime is 26820659227. The next prime is 26820659339. The reversal of 26820659264 is 46295602862.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20774459 + ... + 20775749.

It is an arithmetic number, because the mean of its divisors is an integer number (551322240).

Almost surely, 2^26820659264 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 26820659264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30874045440).

26820659264 is an abundant number, since it is smaller than the sum of its proper divisors (34927431616).

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

26820659264 is a wasteful number, since it uses less digits than its factorization.

26820659264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 26820659264 in words is "twenty-six billion, eight hundred twenty million, six hundred fifty-nine thousand, two hundred sixty-four".