26068838400 has 864 divisors, whose sum is σ = 105354194400. Its totient is φ = 6104678400.

The previous prime is 26068838399. The next prime is 26068838417. The reversal of 26068838400 is 483886062.

It is a happy number.

26068838400 is a `hidden beast` number, since 2 + 606 + 8 + 8 + 38 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187545531 + ... + 187545669.

It is an arithmetic number, because the mean of its divisors is an integer number (121937725).

Almost surely, 2^26068838400 is an apocalyptic number.

26068838400 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 26068838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52677097200).

26068838400 is an abundant number, since it is smaller than the sum of its proper divisors (79285356000).

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

26068838400 is a wasteful number, since it uses less digits than its factorization.

26068838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

It can be divided in two parts, 26068 and 838400, that added together give a palindrome (864468).

The spelling of 26068838400 in words is "twenty-six billion, sixty-eight million, eight hundred thirty-eight thousand, four hundred".