17930675880 has 192 divisors, whose sum is σ = 66449270160. Its totient is φ = 4154056704.

The previous prime is 17930675831. The next prime is 17930675891. The reversal of 17930675880 is 8857603971.

It can be written as a sum of positive squares in 8 ways, for example, as 8434952964 + 9495722916 = 91842^2 + 97446^2 .

It is a super-2 number, since 2×17930675880² (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 47 ways as a sum of consecutive naturals, for example, 33127 + ... + 192246.

Almost surely, 2^17930675880 is an apocalyptic number.

17930675880 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 17930675880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33224635080).

17930675880 is an abundant number, since it is smaller than the sum of its proper divisors (48518594280).

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

17930675880 is a wasteful number, since it uses less digits than its factorization.

17930675880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225420 (or 225413 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 17930675880 in words is "seventeen billion, nine hundred thirty million, six hundred seventy-five thousand, eight hundred eighty".