2014121506560 has 144 divisors (see below), whose sum is σ = 6810989050656. Its totient is φ = 505504989184.

The previous prime is 2014121506519. The next prime is 2014121506613. The reversal of 2014121506560 is 656051214102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15361509 + ... + 15492068.

It is an arithmetic number, because the mean of its divisors is an integer number (47298535074).

Almost surely, 2^{2014121506560} is an apocalyptic number.

2014121506560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014121506560 is an abundant number, since it is smaller than the sum of its proper divisors (4796867544096).

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

2014121506560 is a wasteful number, since it uses less digits than its factorization.

2014121506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30853618 (or 30853604 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 2014121506560 in words is "two trillion, fourteen billion, one hundred twenty-one million, five hundred six thousand, five hundred sixty".