27087185952 has 144 divisors (see below), whose sum is σ = 81454464000. Its totient is φ = 8524569600.

The previous prime is 27087185933. The next prime is 27087185953. The reversal of 27087185952 is 25958178072.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×27087185952² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27087185953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329049 + ... + 403047.

It is an arithmetic number, because the mean of its divisors is an integer number (565656000).

Almost surely, 2^27087185952 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 27087185952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40727232000).

27087185952 is an abundant number, since it is smaller than the sum of its proper divisors (54367278048).

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

27087185952 is a wasteful number, since it uses less digits than its factorization.

27087185952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74087 (or 74076 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 27087185952 in words is "twenty-seven billion, eighty-seven million, one hundred eighty-five thousand, nine hundred fifty-two".