26816682564 has 135 divisors (see below), whose sum is σ = 79221907037. Its totient is φ = 7648153632.

The previous prime is 26816682559. The next prime is 26816682577. The reversal of 26816682564 is 46528661862.

The square root of 26816682564 is 163758.

It is a perfect power (a square), and thus also a powerful number.

26816682564 is a `hidden beast` number, since 2 + 6 + 8 + 16 + 68 + 2 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2353220100 + 24463462464 = 48510^2 + 156408^2 .

It is a super-2 number, since 2×26816682564² (a number of 22 digits) contains 22 as substring.

Its product of digits (6635520) is a multiple of the sum of its prime factors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 26816682564.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48144574 + ... + 48145130.

Almost surely, 2^26816682564 is an apocalyptic number.

26816682564 is the 163758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26816682564

26816682564 is an abundant number, since it is smaller than the sum of its proper divisors (52405224473).

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

26816682564 is an frugal number, since it uses more digits than its factorization.

26816682564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 569 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 26816682564 in words is "twenty-six billion, eight hundred sixteen million, six hundred eighty-two thousand, five hundred sixty-four".