27209605045056 has 224 divisors, whose sum is σ = 83991348806400. Its totient is φ = 7770879148032.

The previous prime is 27209605045027. The next prime is 27209605045127. The reversal of 27209605045056 is 65054050690272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×27209605045056³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157507080 + ... + 157679736.

It is an arithmetic number, because the mean of its divisors is an integer number (374961378600).

Almost surely, 2^{27209605045056} 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 27209605045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41995674403200).

27209605045056 is an abundant number, since it is smaller than the sum of its proper divisors (56781743761344).

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

27209605045056 is a wasteful number, since it uses less digits than its factorization.

27209605045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175086 (or 175062 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 27209605045056 in words is "twenty-seven trillion, two hundred nine billion, six hundred five million, forty-five thousand, fifty-six".