18298005120 has 384 divisors, whose sum is σ = 67078627200. Its totient is φ = 4586250240.

The previous prime is 18298005113. The next prime is 18298005127. The reversal of 18298005120 is 2150089281.

It is an interprime number because it is at equal distance from previous prime (18298005113) and next prime (18298005127).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18298005127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7815150 + ... + 7817490.

It is an arithmetic number, because the mean of its divisors is an integer number (174683925).

Almost surely, 2^18298005120 is an apocalyptic number.

18298005120 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 18298005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33539313600).

18298005120 is an abundant number, since it is smaller than the sum of its proper divisors (48780622080).

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

18298005120 is a wasteful number, since it uses less digits than its factorization.

18298005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 18298005120 in words is "eighteen billion, two hundred ninety-eight million, five thousand, one hundred twenty".