27799316160 has 896 divisors, whose sum is σ = 116799750144. Its totient is φ = 5431050240.

The previous prime is 27799316107. The next prime is 27799316177. The reversal of 27799316160 is 6161399772.

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, 141113182 + ... + 141113378.

It is an arithmetic number, because the mean of its divisors is an integer number (130356864).

Almost surely, 2^27799316160 is an apocalyptic number.

27799316160 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 27799316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58399875072).

27799316160 is an abundant number, since it is smaller than the sum of its proper divisors (89000433984).

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

27799316160 is a wasteful number, since it uses less digits than its factorization.

27799316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The spelling of 27799316160 in words is "twenty-seven billion, seven hundred ninety-nine million, three hundred sixteen thousand, one hundred sixty".