180152917056 has 126 divisors (see below), whose sum is σ = 600682157790. Its totient is φ = 51472253952.

The previous prime is 180152917033. The next prime is 180152917097. The reversal of 180152917056 is 650719251081.

180152917056 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 529 + 1 + 70 + 56 = 666.

180152917056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 108979214400 + 71173702656 = 330120^2 + 266784^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3163261 + ... + 3219708.

Almost surely, 2^180152917056 is an apocalyptic number.

180152917056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

180152917056 is an abundant number, since it is smaller than the sum of its proper divisors (420529240734).

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

180152917056 is a wasteful number, since it uses less digits than its factorization.

180152917056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383001 (or 6382981 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 180152917056 in words is "one hundred eighty billion, one hundred fifty-two million, nine hundred seventeen thousand, fifty-six".