18877317120 has 408 divisors, whose sum is σ = 67598033256. Its totient is φ = 4869586944.

The previous prime is 18877317119. The next prime is 18877317131. The reversal of 18877317120 is 2171377881.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9513271296 + 9364045824 = 97536^2 + 96768^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109117354 + ... + 109117526.

Almost surely, 2^18877317120 is an apocalyptic number.

18877317120 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 18877317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33799016628).

18877317120 is an abundant number, since it is smaller than the sum of its proper divisors (48720716136).

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

18877317120 is an equidigital number, since it uses as much as digits as its factorization.

18877317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 18877317120 in words is "eighteen billion, eight hundred seventy-seven million, three hundred seventeen thousand, one hundred twenty".