27201604220 has 144 divisors (see below), whose sum is σ = 70503874560. Its totient is φ = 8765076096.

The previous prime is 27201604219. The next prime is 27201604249. The reversal of 27201604220 is 2240610272.

It is a self number, because there is not a number n which added to its sum of digits gives 27201604220.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2358989 + ... + 2370491.

It is an arithmetic number, because the mean of its divisors is an integer number (489610240).

Almost surely, 2^27201604220 is an apocalyptic number.

27201604220 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 27201604220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251937280).

27201604220 is an abundant number, since it is smaller than the sum of its proper divisors (43302270340).

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

27201604220 is a wasteful number, since it uses less digits than its factorization.

27201604220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672 (or 11663 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 27201604220 in words is "twenty-seven billion, two hundred one million, six hundred four thousand, two hundred twenty".