26208000000 has 1008 divisors, whose sum is σ = 116450071920. Its totient is φ = 5529600000.

The previous prime is 26207999981. The next prime is 26208000011. The reversal of 26208000000 is 80262.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2015999994 + ... + 2016000006.

It is an arithmetic number, because the mean of its divisors is an integer number (115525865).

Almost surely, 2^26208000000 is an apocalyptic number.

26208000000 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 26208000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58225035960).

26208000000 is an abundant number, since it is smaller than the sum of its proper divisors (90242071920).

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

26208000000 is an frugal number, since it uses more digits than its factorization.

26208000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 26208000000 its reverse (80262), we get a palindrome (26208080262).

The spelling of 26208000000 in words is "twenty-six billion, two hundred eight million", and thus it is an aban number.