26105716800 has 840 divisors, whose sum is σ = 104440893480. Its totient is φ = 6392217600.

The previous prime is 26105716789. The next prime is 26105716837. The reversal of 26105716800 is 861750162.

26105716800 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 571 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 12551169024 + 13554547776 = 112032^2 + 116424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 636724780 + ... + 636724820.

It is an arithmetic number, because the mean of its divisors is an integer number (124334397).

Almost surely, 2^26105716800 is an apocalyptic number.

26105716800 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 26105716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52220446740).

26105716800 is an abundant number, since it is smaller than the sum of its proper divisors (78335176680).

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

26105716800 is an equidigital number, since it uses as much as digits as its factorization.

26105716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 26105716800 in words is "twenty-six billion, one hundred five million, seven hundred sixteen thousand, eight hundred".