27314408160 has 288 divisors, whose sum is σ = 101179653120. Its totient is φ = 6670024704.

The previous prime is 27314408159. The next prime is 27314408179. The reversal of 27314408160 is 6180441372.

27314408160 is a `hidden beast` number, since 27 + 31 + 440 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×27314408160³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2371696 + ... + 2383184.

It is an arithmetic number, because the mean of its divisors is an integer number (351318240).

Almost surely, 2^27314408160 is an apocalyptic number.

27314408160 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 27314408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50589826560).

27314408160 is an abundant number, since it is smaller than the sum of its proper divisors (73865244960).

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

27314408160 is a wasteful number, since it uses less digits than its factorization.

27314408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11650 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 27314408160 in words is "twenty-seven billion, three hundred fourteen million, four hundred eight thousand, one hundred sixty".