27161300275200 has 1872 divisors, whose sum is σ = 126786517393536. Its totient is φ = 5393350656000.

The previous prime is 27161300275181. The next prime is 27161300275211. The reversal of 27161300275200 is 257200316172.

27161300275200 is a `hidden beast` number, since 2 + 7 + 1 + 61 + 300 + 275 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1425705675 + ... + 1425724725.

It is an arithmetic number, because the mean of its divisors is an integer number (67727840488).

Almost surely, 2^{27161300275200} is an apocalyptic number.

27161300275200 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 27161300275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63393258696768).

27161300275200 is an abundant number, since it is smaller than the sum of its proper divisors (99625217118336).

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

27161300275200 is a wasteful number, since it uses less digits than its factorization.

27161300275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19128 (or 19098 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 27161300275200 in words is "twenty-seven trillion, one hundred sixty-one billion, three hundred million, two hundred seventy-five thousand, two hundred".