18542145530520 has 448 divisors, whose sum is σ = 63387276563520. Its totient is φ = 4878912724992.

The previous prime is 18542145530449. The next prime is 18542145530533. The reversal of 18542145530520 is 2503554124581.

18542145530520 is a `hidden beast` number, since 1 + 8 + 5 + 4 + 21 + 45 + 530 + 52 + 0 = 666.

It is a super-2 number, since 2×18542145530520² (a number of 27 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 667137744 + ... + 667165536.

It is an arithmetic number, because the mean of its divisors is an integer number (141489456615).

Almost surely, 2^{18542145530520} is an apocalyptic number.

18542145530520 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 18542145530520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31693638281760).

18542145530520 is an abundant number, since it is smaller than the sum of its proper divisors (44845131033000).

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

18542145530520 is a wasteful number, since it uses less digits than its factorization.

18542145530520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28126 (or 28107 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 18542145530520 in words is "eighteen trillion, five hundred forty-two billion, one hundred forty-five million, five hundred thirty thousand, five hundred twenty".