27168860160 has 384 divisors, whose sum is σ = 104019552000. Its totient is φ = 6686834688.

The previous prime is 27168860111. The next prime is 27168860177. The reversal of 27168860160 is 6106886172.

It is a happy number.

27168860160 is a `hidden beast` number, since 27 + 16 + 8 + 8 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3590461 + ... + 3598019.

It is an arithmetic number, because the mean of its divisors is an integer number (270884250).

Almost surely, 2^27168860160 is an apocalyptic number.

27168860160 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 27168860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009776000).

27168860160 is an abundant number, since it is smaller than the sum of its proper divisors (76850691840).

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

27168860160 is a wasteful number, since it uses less digits than its factorization.

27168860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 27168860160 in words is "twenty-seven billion, one hundred sixty-eight million, eight hundred sixty thousand, one hundred sixty".