27493532160 has 160 divisors (see below), whose sum is σ = 88702447680. Its totient is φ = 7264124928.

The previous prime is 27493532159. The next prime is 27493532161. The reversal of 27493532160 is 6123539472.

It is an interprime number because it is at equal distance from previous prime (27493532159) and next prime (27493532161).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (27493532161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820699 + ... + 853541.

It is an arithmetic number, because the mean of its divisors is an integer number (554390298).

Almost surely, 2^27493532160 is an apocalyptic number.

27493532160 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 27493532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44351223840).

27493532160 is an abundant number, since it is smaller than the sum of its proper divisors (61208915520).

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

27493532160 is a wasteful number, since it uses less digits than its factorization.

27493532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32978 (or 32962 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 27493532160 in words is "twenty-seven billion, four hundred ninety-three million, five hundred thirty-two thousand, one hundred sixty".