18212117760 has 360 divisors, whose sum is σ = 65508707880. Its totient is φ = 4831100928.

The previous prime is 18212117719. The next prime is 18212117779. The reversal of 18212117760 is 6771121281.

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 18089174016 = 11088^2 + 134496^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27889594 + ... + 27890246.

It is an arithmetic number, because the mean of its divisors is an integer number (181968633).

Almost surely, 2^18212117760 is an apocalyptic number.

18212117760 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 18212117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32754353940).

18212117760 is an abundant number, since it is smaller than the sum of its proper divisors (47296590120).

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

18212117760 is an equidigital number, since it uses as much as digits as its factorization.

18212117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 18212117760 in words is "eighteen billion, two hundred twelve million, one hundred seventeen thousand, seven hundred sixty".