27298800889272 has 144 divisors (see below), whose sum is σ = 85679077746600. Its totient is φ = 7785754199040.

The previous prime is 27298800889267. The next prime is 27298800889273.

27298800889272 is a `hidden beast` number, since 272 + 9 + 8 + 8 + 0 + 0 + 8 + 89 + 272 = 666.

27298800889272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 27298800889272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27298800889273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59404647 + ... + 59862422.

Almost surely, 2^{27298800889272} is an apocalyptic number.

27298800889272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27298800889272 is an abundant number, since it is smaller than the sum of its proper divisors (58380276857328).

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

27298800889272 is a wasteful number, since it uses less digits than its factorization.

27298800889272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119267126 (or 119267102 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 27298800889272 in words is "twenty-seven trillion, two hundred ninety-eight billion, eight hundred million, eight hundred eighty-nine thousand, two hundred seventy-two".