27016564848000 has 1024 divisors, whose sum is σ = 110960277442560. Its totient is φ = 5662310400000.

The previous prime is 27016564847953. The next prime is 27016564848019. The reversal of 27016564848000 is 84846561072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 659547520 + ... + 659588480.

It is an arithmetic number, because the mean of its divisors is an integer number (108359645940).

Almost surely, 2^{27016564848000} is an apocalyptic number.

27016564848000 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 27016564848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55480138721280).

27016564848000 is an abundant number, since it is smaller than the sum of its proper divisors (83943712594560).

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

27016564848000 is a wasteful number, since it uses less digits than its factorization.

27016564848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41164 (or 41142 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 27016564848000 in words is "twenty-seven trillion, sixteen billion, five hundred sixty-four million, eight hundred forty-eight thousand".