18287057152000 has 1152 divisors, whose sum is σ = 57682440990720. Its totient is φ = 5735478067200.

The previous prime is 18287057151991. The next prime is 18287057152003. The reversal of 18287057152000 is 25175078281.

It is a super-2 number, since 2×18287057152000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18287057152003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20710143559 + ... + 20710144441.

It is an arithmetic number, because the mean of its divisors is an integer number (50071563360).

Almost surely, 2^{18287057152000} is an apocalyptic number.

18287057152000 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 18287057152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28841220495360).

18287057152000 is an abundant number, since it is smaller than the sum of its proper divisors (39395383838720).

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

18287057152000 is a wasteful number, since it uses less digits than its factorization.

18287057152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 46.

The spelling of 18287057152000 in words is "eighteen trillion, two hundred eighty-seven billion, fifty-seven million, one hundred fifty-two thousand".