26216660800 has 336 divisors, whose sum is σ = 73074751488. Its totient is φ = 9173606400.

The previous prime is 26216660779. The next prime is 26216660801. The reversal of 26216660800 is 806661262.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 26216660800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26216660801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82702242 + ... + 82702558.

Almost surely, 2^26216660800 is an apocalyptic number.

26216660800 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 26216660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36537375744).

26216660800 is an abundant number, since it is smaller than the sum of its proper divisors (46858090688).

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

26216660800 is a wasteful number, since it uses less digits than its factorization.

26216660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 26216660800 in words is "twenty-six billion, two hundred sixteen million, six hundred sixty thousand, eight hundred".