26509049856 has 189 divisors, whose sum is σ = 78053863069. Its totient is φ = 8669626368.

The previous prime is 26509049813. The next prime is 26509049863. The reversal of 26509049856 is 65894090562.

It is a happy number.

The square root of 26509049856 is 162816.

It is a perfect power (a square), and thus also a powerful number.

26509049856 is a `hidden beast` number, since 2 + 65 + 0 + 90 + 498 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19110297600 + 7398752256 = 138240^2 + 86016^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 500170726 + ... + 500170778.

Almost surely, 2^26509049856 is an apocalyptic number.

26509049856 is the 162816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26509049856

26509049856 is an abundant number, since it is smaller than the sum of its proper divisors (51544813213).

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

26509049856 is an frugal number, since it uses more digits than its factorization.

26509049856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 26509049856 in words is "twenty-six billion, five hundred nine million, forty-nine thousand, eight hundred fifty-six".