27166272000 has 1280 divisors, whose sum is σ = 115822586880. Its totient is φ = 5505024000.

The previous prime is 27166271987. The next prime is 27166272011. The reversal of 27166272000 is 27266172.

It is a tau number, because it is divible by the number of its divisors (1280).

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, 662591980 + ... + 662592020.

It is an arithmetic number, because the mean of its divisors is an integer number (90486396).

Almost surely, 2^27166272000 is an apocalyptic number.

27166272000 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 27166272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57911293440).

27166272000 is an abundant number, since it is smaller than the sum of its proper divisors (88656314880).

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

27166272000 is a wasteful number, since it uses less digits than its factorization.

27166272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 27166272000 in words is "twenty-seven billion, one hundred sixty-six million, two hundred seventy-two thousand".