13662530163540 has 288 divisors, whose sum is σ = 42064431960096. Its totient is φ = 3589172428800.

The previous prime is 13662530163509. The next prime is 13662530163551. The reversal of 13662530163540 is 4536103526631.

13662530163540 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 2 + 5 + 3 + 0 + 1 + 635 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 228824462736 + 13433705700804 = 478356^2 + 3665202^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2389804762 + ... + 2389810478.

It is an arithmetic number, because the mean of its divisors is an integer number (146057055417).

Almost surely, 2^{13662530163540} is an apocalyptic number.

13662530163540 is a gapful number since it is divisible by the number (10) 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 13662530163540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21032215980048).

13662530163540 is an abundant number, since it is smaller than the sum of its proper divisors (28401901796556).

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

13662530163540 is a wasteful number, since it uses less digits than its factorization.

13662530163540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6539 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 13662530163540 in words is "thirteen trillion, six hundred sixty-two billion, five hundred thirty million, one hundred sixty-three thousand, five hundred forty".