26010585216 has 640 divisors, whose sum is σ = 99715461120. Its totient is φ = 6531840000.

The previous prime is 26010585179. The next prime is 26010585239. The reversal of 26010585216 is 61258501062.

26010585216 is a `hidden beast` number, since 2 + 60 + 1 + 0 + 585 + 2 + 16 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 24747891 + ... + 24748941.

It is an arithmetic number, because the mean of its divisors is an integer number (155805408).

Almost surely, 2^26010585216 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 26010585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49857730560).

26010585216 is an abundant number, since it is smaller than the sum of its proper divisors (73704875904).

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

26010585216 is a wasteful number, since it uses less digits than its factorization.

26010585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 26010585216 in words is "twenty-six billion, ten million, five hundred eighty-five thousand, two hundred sixteen".