27872709120 has 200 divisors, whose sum is σ = 99831979764. Its totient is φ = 7432667136.

The previous prime is 27872709107. The next prime is 27872709173. The reversal of 27872709120 is 2190727872.

27872709120 is a `hidden beast` number, since 278 + 7 + 270 + 91 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27280468224 + 592240896 = 165168^2 + 24336^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140152 + ... + 274568.

Almost surely, 2^27872709120 is an apocalyptic number.

27872709120 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 27872709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49915989882).

27872709120 is an abundant number, since it is smaller than the sum of its proper divisors (71959270644).

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

27872709120 is an equidigital number, since it uses as much as digits as its factorization.

27872709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134452 (or 134427 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 27872709120 in words is "twenty-seven billion, eight hundred seventy-two million, seven hundred nine thousand, one hundred twenty".