18225133920 has 384 divisors, whose sum is σ = 73088870400. Its totient is φ = 4154996736.

The previous prime is 18225133891. The next prime is 18225133933. The reversal of 18225133920 is 2933152281.

18225133920 is a `hidden beast` number, since 18 + 2 + 251 + 3 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21984066 + ... + 21984894.

It is an arithmetic number, because the mean of its divisors is an integer number (190335600).

Almost surely, 2^18225133920 is an apocalyptic number.

18225133920 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 18225133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36544435200).

18225133920 is an abundant number, since it is smaller than the sum of its proper divisors (54863736480).

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

18225133920 is a wasteful number, since it uses less digits than its factorization.

18225133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 18225133920 in words is "eighteen billion, two hundred twenty-five million, one hundred thirty-three thousand, nine hundred twenty".