18528045001620 has 576 divisors, whose sum is σ = 68375942111232. Its totient is φ = 3702900096000.

The previous prime is 18528045001619. The next prime is 18528045001663. The reversal of 18528045001620 is 2610054082581.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163357330 + ... + 163470710.

It is an arithmetic number, because the mean of its divisors is an integer number (118708232832).

Almost surely, 2^{18528045001620} is an apocalyptic number.

18528045001620 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 18528045001620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34187971055616).

18528045001620 is an abundant number, since it is smaller than the sum of its proper divisors (49847897109612).

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

18528045001620 is a wasteful number, since it uses less digits than its factorization.

18528045001620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113612 (or 113603 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 18528045001620 in words is "eighteen trillion, five hundred twenty-eight billion, forty-five million, one thousand, six hundred twenty".