27145235736 has 48 divisors (see below), whose sum is σ = 75228084360. Its totient is φ = 8837982720.

The previous prime is 27145235717. The next prime is 27145235737. The reversal of 27145235736 is 63753254172.

27145235736 is a `hidden beast` number, since 2 + 71 + 4 + 5 + 2 + 3 + 573 + 6 = 666.

It is a super-2 number, since 2×27145235736² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27145235691 and 27145235700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27145235737) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4380825 + ... + 4387016.

Almost surely, 2^27145235736 is an apocalyptic number.

It is an amenable number.

27145235736 is an abundant number, since it is smaller than the sum of its proper divisors (48082848624).

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

27145235736 is a wasteful number, since it uses less digits than its factorization.

27145235736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767896 (or 8767889 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 27145235736 in words is "twenty-seven billion, one hundred forty-five million, two hundred thirty-five thousand, seven hundred thirty-six".