18415251120 has 160 divisors (see below), whose sum is σ = 65400814080. Its totient is φ = 4198993920.

The previous prime is 18415251109. The next prime is 18415251121. The reversal of 18415251120 is 2115251481.

It is a super-3 number, since 3×18415251120³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (18415251121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690840 + ... + 717000.

It is an arithmetic number, because the mean of its divisors is an integer number (408755088).

Almost surely, 2^18415251120 is an apocalyptic number.

18415251120 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 18415251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32700407040).

18415251120 is an abundant number, since it is smaller than the sum of its proper divisors (46985562960).

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

18415251120 is a wasteful number, since it uses less digits than its factorization.

18415251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26603 (or 26597 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The spelling of 18415251120 in words is "eighteen billion, four hundred fifteen million, two hundred fifty-one thousand, one hundred twenty".