26113432800 has 1728 divisors, whose sum is σ = 119692339200. Its totient is φ = 4877107200.

The previous prime is 26113432733. The next prime is 26113432817. The reversal of 26113432800 is 823431162.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×26113432800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 842368785 + ... + 842368815.

It is an arithmetic number, because the mean of its divisors is an integer number (69266400).

Almost surely, 2^26113432800 is an apocalyptic number.

26113432800 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 26113432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59846169600).

26113432800 is an abundant number, since it is smaller than the sum of its proper divisors (93578906400).

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

26113432800 is a wasteful number, since it uses less digits than its factorization.

26113432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 26113432800 its reverse (823431162), we get a palindrome (26936863962).

The spelling of 26113432800 in words is "twenty-six billion, one hundred thirteen million, four hundred thirty-two thousand, eight hundred".