27413235242496 has 480 divisors, whose sum is σ = 84488440608000. Its totient is φ = 8537362808832.

The previous prime is 27413235242483. The next prime is 27413235242513. The reversal of 27413235242496 is 69424253231472.

27413235242496 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 3 + 2 + 3 + 524 + 24 + 96 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275082755 + ... + 1275104253.

It is an arithmetic number, because the mean of its divisors is an integer number (176017584600).

Almost surely, 2^{27413235242496} 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 27413235242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42244220304000).

27413235242496 is an abundant number, since it is smaller than the sum of its proper divisors (57075205365504).

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

27413235242496 is a wasteful number, since it uses less digits than its factorization.

27413235242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21826 (or 21807 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 27413235242496 in words is "twenty-seven trillion, four hundred thirteen billion, two hundred thirty-five million, two hundred forty-two thousand, four hundred ninety-six".