18350017920 has 384 divisors, whose sum is σ = 68567990400. Its totient is φ = 4495196160.

The previous prime is 18350017897. The next prime is 18350017921. The reversal of 18350017920 is 2971005381.

18350017920 is a `hidden beast` number, since 1 + 83 + 500 + 1 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×18350017920² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18350017921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20142265 + ... + 20143175.

It is an arithmetic number, because the mean of its divisors is an integer number (178562475).

Almost surely, 2^18350017920 is an apocalyptic number.

18350017920 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 18350017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34283995200).

18350017920 is an abundant number, since it is smaller than the sum of its proper divisors (50217972480).

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

18350017920 is a wasteful number, since it uses less digits than its factorization.

18350017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 18350017920 in words is "eighteen billion, three hundred fifty million, seventeen thousand, nine hundred twenty".