26564500000 has 84 divisors (see below), whose sum is σ = 65373967890. Its totient is φ = 10625600000.

The previous prime is 26564499917. The next prime is 26564500007. The reversal of 26564500000 is 546562.

It can be written as a sum of positive squares in 7 ways, for example, as 8472097936 + 18092402064 = 92044^2 + 134508^2 .

It is a super-3 number, since 3×26564500000³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (26564500007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 473436 + ... + 526564.

Almost surely, 2^26564500000 is an apocalyptic number.

26564500000 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 26564500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32686983945).

26564500000 is an abundant number, since it is smaller than the sum of its proper divisors (38809467890).

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

26564500000 is an frugal number, since it uses more digits than its factorization.

26564500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53169 (or 53136 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 26564500000 in words is "twenty-six billion, five hundred sixty-four million, five hundred thousand".