26016768000 has 448 divisors, whose sum is σ = 96300584640. Its totient is φ = 6930432000.

The previous prime is 26016767981. The next prime is 26016768013. The reversal of 26016768000 is 86761062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27647530 + ... + 27648470.

Almost surely, 2^26016768000 is an apocalyptic number.

26016768000 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 26016768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48150292320).

26016768000 is an abundant number, since it is smaller than the sum of its proper divisors (70283816640).

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

26016768000 is an frugal number, since it uses more digits than its factorization.

26016768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 26016768000 in words is "twenty-six billion, sixteen million, seven hundred sixty-eight thousand".