26055400800 has 864 divisors, whose sum is σ = 104258327040. Its totient is φ = 5571072000.

The previous prime is 26055400783. The next prime is 26055400807. The reversal of 26055400800 is 800455062.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26055400807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 329815161 + ... + 329815239.

It is an arithmetic number, because the mean of its divisors is an integer number (120669360).

Almost surely, 2^26055400800 is an apocalyptic number.

26055400800 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 26055400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52129163520).

26055400800 is an abundant number, since it is smaller than the sum of its proper divisors (78202926240).

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

26055400800 is a wasteful number, since it uses less digits than its factorization.

26055400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 26055400800 its reverse (800455062), we get a palindrome (26855855862).

The spelling of 26055400800 in words is "twenty-six billion, fifty-five million, four hundred thousand, eight hundred".