13500420564 has 48 divisors (see below), whose sum is σ = 31950820160. Its totient is φ = 4435948800.

The previous prime is 13500420559. The next prime is 13500420581. The reversal of 13500420564 is 46502400531.

It is a super-2 number, since 2×13500420564² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2089539 + ... + 2095989.

Almost surely, 2^13500420564 is an apocalyptic number.

It is an amenable number.

13500420564 is an abundant number, since it is smaller than the sum of its proper divisors (18450399596).

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

13500420564 is a wasteful number, since it uses less digits than its factorization.

13500420564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8920 (or 8918 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13500420564 in words is "thirteen billion, five hundred million, four hundred twenty thousand, five hundred sixty-four".