1465164416560 has 80 divisors (see below), whose sum is σ = 3828048364224. Its totient is φ = 517462742016.

The previous prime is 1465164416467. The next prime is 1465164416591. The reversal of 1465164416560 is 656144615641.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 30602427 + ... + 30650266.

Almost surely, 2^{1465164416560} is an apocalyptic number.

1465164416560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1465164416560 is an abundant number, since it is smaller than the sum of its proper divisors (2362883947664).

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

1465164416560 is a wasteful number, since it uses less digits than its factorization.

1465164416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61252742 (or 61252736 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 1465164416560 in words is "one trillion, four hundred sixty-five billion, one hundred sixty-four million, four hundred sixteen thousand, five hundred sixty".