26201935872 has 312 divisors, whose sum is σ = 88014588480. Its totient is φ = 7355105280.

The previous prime is 26201935871. The next prime is 26201935889. The reversal of 26201935872 is 27853910262.

26201935872 is a `hidden beast` number, since 2 + 62 + 0 + 1 + 9 + 3 + 587 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26201935871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15223972 + ... + 15225692.

It is an arithmetic number, because the mean of its divisors is an integer number (282098040).

Almost surely, 2^26201935872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26201935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44007294240).

26201935872 is an abundant number, since it is smaller than the sum of its proper divisors (61812652608).

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

26201935872 is a wasteful number, since it uses less digits than its factorization.

26201935872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 26201935872 in words is "twenty-six billion, two hundred one million, nine hundred thirty-five thousand, eight hundred seventy-two".