27430163072 has 128 divisors (see below), whose sum is σ = 59649730560. Its totient is φ = 12489265152.

The previous prime is 27430163071. The next prime is 27430163081. The reversal of 27430163072 is 27036103472.

It is a tau number, because it is divible by the number of its divisors (128).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (27430163071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61918883 + ... + 61919325.

It is an arithmetic number, because the mean of its divisors is an integer number (466013520).

Almost surely, 2^27430163072 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 27430163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29824865280).

27430163072 is an abundant number, since it is smaller than the sum of its proper divisors (32219567488).

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

27430163072 is a wasteful number, since it uses less digits than its factorization.

27430163072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 27430163072 in words is "twenty-seven billion, four hundred thirty million, one hundred sixty-three thousand, seventy-two".