26128034800 has 180 divisors, whose sum is σ = 73905566616. Its totient is φ = 8849702400.

The previous prime is 26128034767. The next prime is 26128034809. The reversal of 26128034800 is 843082162.

It is a super-2 number, since 2×26128034800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26128034809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1618770 + ... + 1634830.

Almost surely, 2^26128034800 is an apocalyptic number.

26128034800 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 26128034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36952783308).

26128034800 is an abundant number, since it is smaller than the sum of its proper divisors (47777531816).

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

26128034800 is a wasteful number, since it uses less digits than its factorization.

26128034800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16176 (or 16158 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 26128034800 in words is "twenty-six billion, one hundred twenty-eight million, thirty-four thousand, eight hundred".