26166416256 has 320 divisors, whose sum is σ = 81815611680. Its totient is φ = 8285663232.

The previous prime is 26166416249. The next prime is 26166416273. The reversal of 26166416256 is 65261466162.

26166416256 is a `hidden beast` number, since 2 + 6 + 16 + 6 + 4 + 1 + 625 + 6 = 666.

It is a super-2 number, since 2×26166416256² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46977130 + ... + 46977686.

Almost surely, 2^26166416256 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 26166416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40907805840).

26166416256 is an abundant number, since it is smaller than the sum of its proper divisors (55649195424).

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

26166416256 is a wasteful number, since it uses less digits than its factorization.

26166416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 782 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 26166416256 in words is "twenty-six billion, one hundred sixty-six million, four hundred sixteen thousand, two hundred fifty-six".