26616000000 has 280 divisors, whose sum is σ = 88712145720. Its totient is φ = 7091200000.

The previous prime is 26615999911. The next prime is 26616000011. The reversal of 26616000000 is 61662.

It is a super-2 number, since 2×26616000000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23999446 + ... + 24000554.

Almost surely, 2^26616000000 is an apocalyptic number.

26616000000 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 26616000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44356072860).

26616000000 is an abundant number, since it is smaller than the sum of its proper divisors (62096145720).

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

26616000000 is an frugal number, since it uses more digits than its factorization.

26616000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 26616000000 its reverse (61662), we get a palindrome (26616061662).

The spelling of 26616000000 in words is "twenty-six billion, six hundred sixteen million", and thus it is an aban number.