27852023168 has 128 divisors (see below), whose sum is σ = 60973560000. Its totient is φ = 12613844992.

The previous prime is 27852023093. The next prime is 27852023189. The reversal of 27852023168 is 86132025872.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×27852023168⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28333205 + ... + 28334187.

Almost surely, 2^27852023168 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 27852023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30486780000).

27852023168 is an abundant number, since it is smaller than the sum of its proper divisors (33121536832).

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

27852023168 is a wasteful number, since it uses less digits than its factorization.

27852023168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 27852023168 in words is "twenty-seven billion, eight hundred fifty-two million, twenty-three thousand, one hundred sixty-eight".