18058345200 has 480 divisors, whose sum is σ = 77782878720. Its totient is φ = 3884544000.

The previous prime is 18058345159. The next prime is 18058345259. The reversal of 18058345200 is 254385081.

It is a happy number.

18058345200 is a `hidden beast` number, since 1 + 80 + 58 + 3 + 4 + 520 + 0 = 666.

It is a super-2 number, since 2×18058345200² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1278175 + ... + 1292225.

It is an arithmetic number, because the mean of its divisors is an integer number (162047664).

Almost surely, 2^18058345200 is an apocalyptic number.

18058345200 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 18058345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38891439360).

18058345200 is an abundant number, since it is smaller than the sum of its proper divisors (59724533520).

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

18058345200 is a wasteful number, since it uses less digits than its factorization.

18058345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14102 (or 14085 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 18058345200 in words is "eighteen billion, fifty-eight million, three hundred forty-five thousand, two hundred".