26226600400 has 480 divisors, whose sum is σ = 89599765248. Its totient is φ = 7100006400.

The previous prime is 26226600359. The next prime is 26226600403. The reversal of 26226600400 is 400662262.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26226600403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6804874 + ... + 6808726.

Almost surely, 2^26226600400 is an apocalyptic number.

26226600400 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 26226600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44799882624).

26226600400 is an abundant number, since it is smaller than the sum of its proper divisors (63373164848).

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

26226600400 is a wasteful number, since it uses less digits than its factorization.

26226600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

It can be divided in two parts, 26226 and 600400, that added together give a palindrome (626626).

The spelling of 26226600400 in words is "twenty-six billion, two hundred twenty-six million, six hundred thousand, four hundred".