26188449800 has 36 divisors (see below), whose sum is σ = 60893467245. Its totient is φ = 10474464480.

The previous prime is 26188449787. The next prime is 26188449823. The reversal of 26188449800 is 894488162.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 25664680804 + 523768996 = 160202^2 + 22886^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=114430.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2282879 + ... + 2294321.

Almost surely, 2^26188449800 is an apocalyptic number.

26188449800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26188449800 is an abundant number, since it is smaller than the sum of its proper divisors (34705017445).

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

26188449800 is an frugal number, since it uses more digits than its factorization.

26188449800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 11450 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 50.

Multiplying 26188449800 by its sum of digits (50), we get a square (1309422490000 = 1144300²).

26188449800 divided by its sum of digits (50) gives a square (523768996 = 22886²).

The spelling of 26188449800 in words is "twenty-six billion, one hundred eighty-eight million, four hundred forty-nine thousand, eight hundred".