18211505130 has 384 divisors, whose sum is σ = 64051948800. Its totient is φ = 3639541248.

The previous prime is 18211505093. The next prime is 18211505167. The reversal of 18211505130 is 3150511281.

18211505130 is a `hidden beast` number, since 1 + 8 + 21 + 1 + 505 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (18211505093) and next prime (18211505167).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18211505094 and 18211505103.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3265024 + ... + 3270596.

It is an arithmetic number, because the mean of its divisors is an integer number (166801950).

Almost surely, 2^18211505130 is an apocalyptic number.

18211505130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18211505130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32025974400).

18211505130 is an abundant number, since it is smaller than the sum of its proper divisors (45840443670).

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

18211505130 is a wasteful number, since it uses less digits than its factorization.

18211505130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5635 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 18211505130 in words is "eighteen billion, two hundred eleven million, five hundred five thousand, one hundred thirty".