27042415056 has 100 divisors (see below), whose sum is σ = 78560568900. Its totient is φ = 8980512768.

The previous prime is 27042415027. The next prime is 27042415061. The reversal of 27042415056 is 65051424072.

It is a happy number.

27042415056 is a `hidden beast` number, since 2 + 70 + 42 + 41 + 505 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6244160400 + 20798254656 = 79020^2 + 144216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27042415056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309840 + ... + 387408.

It is an arithmetic number, because the mean of its divisors is an integer number (785605689).

Almost surely, 2^27042415056 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 27042415056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39280284450).

27042415056 is an abundant number, since it is smaller than the sum of its proper divisors (51518153844).

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

27042415056 is a wasteful number, since it uses less digits than its factorization.

27042415056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77858 (or 77843 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 27042415056 in words is "twenty-seven billion, forty-two million, four hundred fifteen thousand, fifty-six".