26345838400 has 168 divisors, whose sum is σ = 78446961216. Its totient is φ = 8501452800.

The previous prime is 26345838367. The next prime is 26345838403. The reversal of 26345838400 is 483854362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26345838403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121215 + ... + 259585.

Almost surely, 2^26345838400 is an apocalyptic number.

26345838400 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 26345838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39223480608).

26345838400 is an abundant number, since it is smaller than the sum of its proper divisors (52101122816).

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

26345838400 is a wasteful number, since it uses less digits than its factorization.

26345838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138417 (or 138402 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 26345838400 in words is "twenty-six billion, three hundred forty-five million, eight hundred thirty-eight thousand, four hundred".