18058360320 has 1920 divisors, whose sum is σ = 90084234240. Its totient is φ = 3344302080.

The previous prime is 18058360283. The next prime is 18058360337. The reversal of 18058360320 is 2306385081.

18058360320 is a `hidden beast` number, since 18 + 0 + 583 + 60 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×18058360320² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 622702066 + ... + 622702094.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 2^18058360320 is an apocalyptic number.

18058360320 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 18058360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45042117120).

18058360320 is an abundant number, since it is smaller than the sum of its proper divisors (72025873920).

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

18058360320 is a wasteful number, since it uses less digits than its factorization.

18058360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 18058360320 in words is "eighteen billion, fifty-eight million, three hundred sixty thousand, three hundred twenty".