180087975045900 has 720 divisors, whose sum is σ = 628158268214400. Its totient is φ = 44492624732160.

The previous prime is 180087975045871. The next prime is 180087975045943. The reversal of 180087975045900 is 9540579780081.

180087975045900 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 8 + 79 + 7 + 504 + 59 + 0 + 0 = 666.

It is a super-2 number, since 2×180087975045900² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1752407919 + ... + 1752510681.

Almost surely, 2^{180087975045900} is an apocalyptic number.

180087975045900 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 180087975045900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314079134107200).

180087975045900 is an abundant number, since it is smaller than the sum of its proper divisors (448070293168500).

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

180087975045900 is a wasteful number, since it uses less digits than its factorization.

180087975045900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103060 (or 103044 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 180087975045900 in words is "one hundred eighty trillion, eighty-seven billion, nine hundred seventy-five million, forty-five thousand, nine hundred".