27725043060 has 288 divisors, whose sum is σ = 100671113088. Its totient is φ = 6086845440.

The previous prime is 27725043041. The next prime is 27725043061. The reversal of 27725043060 is 6034052772.

It is a happy number.

27725043060 is a `hidden beast` number, since 27 + 72 + 504 + 3 + 0 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27725043061) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1354059 + ... + 1374381.

It is an arithmetic number, because the mean of its divisors is an integer number (349552476).

Almost surely, 2^27725043060 is an apocalyptic number.

27725043060 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 27725043060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50335556544).

27725043060 is an abundant number, since it is smaller than the sum of its proper divisors (72946070028).

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

27725043060 is a wasteful number, since it uses less digits than its factorization.

27725043060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20415 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 27725043060 in words is "twenty-seven billion, seven hundred twenty-five million, forty-three thousand, sixty".