27870814152 has 128 divisors (see below), whose sum is σ = 82267747200. Its totient is φ = 8712345600.

The previous prime is 27870814133. The next prime is 27870814189. The reversal of 27870814152 is 25141807872.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27870814098 and 27870814107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018327 + ... + 1045337.

It is an arithmetic number, because the mean of its divisors is an integer number (642716775).

Almost surely, 2^27870814152 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 27870814152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41133873600).

27870814152 is an abundant number, since it is smaller than the sum of its proper divisors (54396933048).

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

27870814152 is a wasteful number, since it uses less digits than its factorization.

27870814152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27324 (or 27314 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 27870814152 in words is "twenty-seven billion, eight hundred seventy million, eight hundred fourteen thousand, one hundred fifty-two".