27455984160 has 288 divisors, whose sum is σ = 95700782016. Its totient is φ = 6611404800.

The previous prime is 27455984119. The next prime is 27455984173. The reversal of 27455984160 is 6148955472.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9117055 + ... + 9120065.

It is an arithmetic number, because the mean of its divisors is an integer number (332294382).

Almost surely, 2^27455984160 is an apocalyptic number.

27455984160 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 27455984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47850391008).

27455984160 is an abundant number, since it is smaller than the sum of its proper divisors (68244797856).

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

27455984160 is a wasteful number, since it uses less digits than its factorization.

27455984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 27455984160 in words is "twenty-seven billion, four hundred fifty-five million, nine hundred eighty-four thousand, one hundred sixty".