27420503460 has 192 divisors, whose sum is σ = 88678195200. Its totient is φ = 6201312768.

The previous prime is 27420503441. The next prime is 27420503471. The reversal of 27420503460 is 6430502472.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17364951 + ... + 17366529.

It is an arithmetic number, because the mean of its divisors is an integer number (461865600).

Almost surely, 2^27420503460 is an apocalyptic number.

27420503460 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 27420503460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44339097600).

27420503460 is an abundant number, since it is smaller than the sum of its proper divisors (61257691740).

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

27420503460 is a wasteful number, since it uses less digits than its factorization.

27420503460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 27420503460 in words is "twenty-seven billion, four hundred twenty million, five hundred three thousand, four hundred sixty".