13530648900 has 72 divisors (see below), whose sum is σ = 40498657920. Its totient is φ = 3483751040.

The previous prime is 13530648899. The next prime is 13530648913. The reversal of 13530648900 is 984603531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768924 + ... + 786323.

It is an arithmetic number, because the mean of its divisors is an integer number (562481360).

Almost surely, 2^13530648900 is an apocalyptic number.

13530648900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530648900 is an abundant number, since it is smaller than the sum of its proper divisors (26968009020).

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

13530648900 is a wasteful number, since it uses less digits than its factorization.

13530648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555293 (or 1555286 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 13530648900 in words is "thirteen billion, five hundred thirty million, six hundred forty-eight thousand, nine hundred".