27245104272 has 200 divisors, whose sum is σ = 79802585016. Its totient is φ = 8973379584.

The previous prime is 27245104259. The next prime is 27245104291. The reversal of 27245104272 is 27240154272.

27245104272 is a `hidden beast` number, since 2 + 72 + 4 + 510 + 4 + 2 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13097429136 + 14147675136 = 114444^2 + 118944^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59617068 + ... + 59617524.

Almost surely, 2^27245104272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27245104272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39901292508).

27245104272 is an abundant number, since it is smaller than the sum of its proper divisors (52557480744).

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

27245104272 is a wasteful number, since it uses less digits than its factorization.

27245104272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 27245104272 in words is "twenty-seven billion, two hundred forty-five million, one hundred four thousand, two hundred seventy-two".