18529585152 has 192 divisors, whose sum is σ = 53615016000. Its totient is φ = 5657001984.

The previous prime is 18529585133. The next prime is 18529585153. The reversal of 18529585152 is 25158592581.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 18529585095 and 18529585104.

It is not an unprimeable number, because it can be changed into a prime (18529585153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11101374 + ... + 11103042.

It is an arithmetic number, because the mean of its divisors is an integer number (279244875).

Almost surely, 2^18529585152 is an apocalyptic number.

18529585152 is a gapful number since it is divisible by the number (12) 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 18529585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26807508000).

18529585152 is an abundant number, since it is smaller than the sum of its proper divisors (35085430848).

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

18529585152 is a wasteful number, since it uses less digits than its factorization.

18529585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1826 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 51.

The spelling of 18529585152 in words is "eighteen billion, five hundred twenty-nine million, five hundred eighty-five thousand, one hundred fifty-two".