18380880000 has 720 divisors, whose sum is σ = 77033552310. Its totient is φ = 4193280000.

The previous prime is 18380879989. The next prime is 18380880013. The reversal of 18380880000 is 8808381.

It can be written as a sum of positive squares in 5 ways, for example, as 28224 + 18380851776 = 168^2 + 135576^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 35279740 + ... + 35280260.

Almost surely, 2^18380880000 is an apocalyptic number.

18380880000 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 18380880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38516776155).

18380880000 is an abundant number, since it is smaller than the sum of its proper divisors (58652672310).

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

18380880000 is an equidigital number, since it uses as much as digits as its factorization.

18380880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

It can be divided in two parts, 18 and 380880000, that multiplied together give a square (6855840000 = 82800²).

The spelling of 18380880000 in words is "eighteen billion, three hundred eighty million, eight hundred eighty thousand".