26506646712 has 320 divisors, whose sum is σ = 92886763200. Its totient is φ = 6875228160.

The previous prime is 26506646707. The next prime is 26506646737. The reversal of 26506646712 is 21764660562.

26506646712 is a `hidden beast` number, since 26 + 506 + 64 + 67 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3593364 + ... + 3600732.

It is an arithmetic number, because the mean of its divisors is an integer number (290271135).

Almost surely, 2^26506646712 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 26506646712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46443381600).

26506646712 is an abundant number, since it is smaller than the sum of its proper divisors (66380116488).

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

26506646712 is a wasteful number, since it uses less digits than its factorization.

26506646712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 26506646712 in words is "twenty-six billion, five hundred six million, six hundred forty-six thousand, seven hundred twelve".