17958483072 has 96 divisors (see below), whose sum is σ = 51718309500. Its totient is φ = 5981423616.

The previous prime is 17958483019. The next prime is 17958483083. The reversal of 17958483072 is 27038485971.

It is a happy number.

17958483072 is a `hidden beast` number, since 1 + 7 + 95 + 8 + 483 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15223611456 + 2734871616 = 123384^2 + 52296^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×17958483072² (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1640754 + ... + 1651662.

Almost surely, 2^17958483072 is an apocalyptic number.

17958483072 is a gapful number since it is divisible by the number (12) 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 17958483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25859154750).

17958483072 is an abundant number, since it is smaller than the sum of its proper divisors (33759826428).

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

17958483072 is a wasteful number, since it uses less digits than its factorization.

17958483072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12358 (or 12343 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 17958483072 in words is "seventeen billion, nine hundred fifty-eight million, four hundred eighty-three thousand, seventy-two".