27482112000 has 960 divisors, whose sum is σ = 117772462080. Its totient is φ = 6193152000.

The previous prime is 27482111999. The next prime is 27482112001. The reversal of 27482112000 is 21128472.

It is an interprime number because it is at equal distance from previous prime (27482111999) and next prime (27482112001).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27482112001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387071965 + ... + 387072035.

It is an arithmetic number, because the mean of its divisors is an integer number (122679648).

Almost surely, 2^27482112000 is an apocalyptic number.

27482112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27482112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58886231040).

27482112000 is an abundant number, since it is smaller than the sum of its proper divisors (90290350080).

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

27482112000 is an frugal number, since it uses more digits than its factorization.

27482112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 27482112000 in words is "twenty-seven billion, four hundred eighty-two million, one hundred twelve thousand".