26205895872 has 448 divisors, whose sum is σ = 87400790400. Its totient is φ = 7644119040.

The previous prime is 26205895853. The next prime is 26205895927. The reversal of 26205895872 is 27859850262.

It is a happy number.

26205895872 is a `hidden beast` number, since 2 + 6 + 2 + 0 + 58 + 9 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34077504 + ... + 34078272.

It is an arithmetic number, because the mean of its divisors is an integer number (195091050).

Almost surely, 2^26205895872 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 26205895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43700395200).

26205895872 is an abundant number, since it is smaller than the sum of its proper divisors (61194894528).

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

26205895872 is a wasteful number, since it uses less digits than its factorization.

26205895872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 26205895872 in words is "twenty-six billion, two hundred five million, eight hundred ninety-five thousand, eight hundred seventy-two".