27013284480 has 576 divisors, whose sum is σ = 108524124000. Its totient is φ = 5696151552.

The previous prime is 27013284457. The next prime is 27013284481. The reversal of 27013284480 is 8448231072.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (27013284481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15898671 + ... + 15900369.

Almost surely, 2^27013284480 is an apocalyptic number.

27013284480 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 27013284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54262062000).

27013284480 is an abundant number, since it is smaller than the sum of its proper divisors (81510839520).

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

27013284480 is a wasteful number, since it uses less digits than its factorization.

27013284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 27013284480 in words is "twenty-seven billion, thirteen million, two hundred eighty-four thousand, four hundred eighty".