26342718400 has 168 divisors, whose sum is σ = 67818762000. Its totient is φ = 10057850880.

The previous prime is 26342718361. The next prime is 26342718401. The reversal of 26342718400 is 481724362.

It is a self number, because there is not a number n which added to its sum of digits gives 26342718400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26342718401) 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, 4126411 + ... + 4132789.

Almost surely, 2^26342718400 is an apocalyptic number.

26342718400 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 26342718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33909381000).

26342718400 is an abundant number, since it is smaller than the sum of its proper divisors (41476043600).

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

26342718400 is a wasteful number, since it uses less digits than its factorization.

26342718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 26342718400 in words is "twenty-six billion, three hundred forty-two million, seven hundred eighteen thousand, four hundred".