27485233238016 has 728 divisors, whose sum is σ = 85139701798440. Its totient is φ = 8861062791168.

The previous prime is 27485233237927. The next prime is 27485233238041. The reversal of 27485233238016 is 61083233258472.

27485233238016 is a `hidden beast` number, since 2 + 7 + 4 + 8 + 523 + 3 + 23 + 80 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10142339567616 + 17342893670400 = 3184704^2 + 4164480^2 .

It is a super-2 number, since 2×27485233238016² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 21322911100 + ... + 21322912388.

Almost surely, 2^{27485233238016} 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 27485233238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42569850899220).

27485233238016 is an abundant number, since it is smaller than the sum of its proper divisors (57654468560424).

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

27485233238016 is an equidigital number, since it uses as much as digits as its factorization.

27485233238016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 27485233238016 in words is "twenty-seven trillion, four hundred eighty-five billion, two hundred thirty-three million, two hundred thirty-eight thousand, sixteen".