18258528960 has 504 divisors, whose sum is σ = 73787416560. Its totient is φ = 4131606528.

The previous prime is 18258528949. The next prime is 18258528983. The reversal of 18258528960 is 6982585281.

It is a happy number.

18258528960 is a `hidden beast` number, since 1 + 8 + 2 + 58 + 528 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 18258528897 and 18258528906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15381487 + ... + 15382673.

Almost surely, 2^18258528960 is an apocalyptic number.

18258528960 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 18258528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36893708280).

18258528960 is an abundant number, since it is smaller than the sum of its proper divisors (55528887600).

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

18258528960 is a wasteful number, since it uses less digits than its factorization.

18258528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 18258528960 in words is "eighteen billion, two hundred fifty-eight million, five hundred twenty-eight thousand, nine hundred sixty".