18475188225120 has 960 divisors, whose sum is σ = 72031685806080. Its totient is φ = 4422316953600.

The previous prime is 18475188225077. The next prime is 18475188225157. The reversal of 18475188225120 is 2152288157481.

18475188225120 is a `hidden beast` number, since 1 + 8 + 4 + 7 + 518 + 82 + 25 + 1 + 20 = 666.

It is a super-2 number, since 2×18475188225120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4832639529 + ... + 4832643351.

It is an arithmetic number, because the mean of its divisors is an integer number (75033006048).

Almost surely, 2^{18475188225120} is an apocalyptic number.

18475188225120 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 18475188225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36015842903040).

18475188225120 is an abundant number, since it is smaller than the sum of its proper divisors (53556497580960).

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

18475188225120 is a wasteful number, since it uses less digits than its factorization.

18475188225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 18475188225120 in words is "eighteen trillion, four hundred seventy-five billion, one hundred eighty-eight million, two hundred twenty-five thousand, one hundred twenty".