26151730682112 has 576 divisors, whose sum is σ = 91284032716800. Its totient is φ = 7226947215360.

The previous prime is 26151730682027. The next prime is 26151730682123. The reversal of 26151730682112 is 21128603715162.

26151730682112 is a `hidden beast` number, since 2 + 6 + 151 + 7 + 306 + 82 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3715258689 + ... + 3715265727.

Almost surely, 2^{26151730682112} 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 26151730682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45642016358400).

26151730682112 is an abundant number, since it is smaller than the sum of its proper divisors (65132302034688).

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

26151730682112 is a wasteful number, since it uses less digits than its factorization.

26151730682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9579 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 26151730682112 in words is "twenty-six trillion, one hundred fifty-one billion, seven hundred thirty million, six hundred eighty-two thousand, one hundred twelve".