18287865960 has 512 divisors, whose sum is σ = 70601932800. Its totient is φ = 3686031360.

The previous prime is 18287865949. The next prime is 18287866021. The reversal of 18287865960 is 6956878281.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 18287865894 and 18287865903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30127977 + ... + 30128583.

It is an arithmetic number, because the mean of its divisors is an integer number (137894400).

Almost surely, 2^18287865960 is an apocalyptic number.

18287865960 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 18287865960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35300966400).

18287865960 is an abundant number, since it is smaller than the sum of its proper divisors (52314066840).

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

18287865960 is a wasteful number, since it uses less digits than its factorization.

18287865960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 18287865960 in words is "eighteen billion, two hundred eighty-seven million, eight hundred sixty-five thousand, nine hundred sixty".