18788232960 has 576 divisors, whose sum is σ = 78293376000. Its totient is φ = 4176396288.

The previous prime is 18788232919. The next prime is 18788232971. The reversal of 18788232960 is 6923288781.

It is a happy number.

18788232960 is a `hidden beast` number, since 187 + 8 + 82 + 329 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 18788232897 and 18788232906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8949991 + ... + 8952089.

It is an arithmetic number, because the mean of its divisors is an integer number (135926000).

Almost surely, 2^18788232960 is an apocalyptic number.

18788232960 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 18788232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39146688000).

18788232960 is an abundant number, since it is smaller than the sum of its proper divisors (59505143040).

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

18788232960 is a wasteful number, since it uses less digits than its factorization.

18788232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18788232960 in words is "eighteen billion, seven hundred eighty-eight million, two hundred thirty-two thousand, nine hundred sixty".