26730186633216 has 624 divisors, whose sum is σ = 88822973341440. Its totient is φ = 7659938119680.

The previous prime is 26730186633179. The next prime is 26730186633281. The reversal of 26730186633216 is 61233668103762.

26730186633216 is a `hidden beast` number, since 2 + 6 + 7 + 301 + 8 + 6 + 6 + 3 + 321 + 6 = 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 47 ways as a sum of consecutive naturals, for example, 4753720581 + ... + 4753726203.

It is an arithmetic number, because the mean of its divisors is an integer number (142344508560).

Almost surely, 2^{26730186633216} 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 26730186633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44411486670720).

26730186633216 is an abundant number, since it is smaller than the sum of its proper divisors (62092786708224).

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

26730186633216 is a wasteful number, since it uses less digits than its factorization.

26730186633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 26730186633216 in words is "twenty-six trillion, seven hundred thirty billion, one hundred eighty-six million, six hundred thirty-three thousand, two hundred sixteen".