180171121536 has 288 divisors, whose sum is σ = 609901390800. Its totient is φ = 50897645568.

The previous prime is 180171121517. The next prime is 180171121567. The reversal of 180171121536 is 635121171081.

It is a happy number.

180171121536 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 7 + 112 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 180171121536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5005941 + ... + 5041803.

Almost surely, 2^180171121536 is an apocalyptic number.

180171121536 is a gapful number since it is divisible by the number (16) 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 180171121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304950695400).

180171121536 is an abundant number, since it is smaller than the sum of its proper divisors (429730269264).

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

180171121536 is a wasteful number, since it uses less digits than its factorization.

180171121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35986 (or 35964 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 180171121536 in words is "one hundred eighty billion, one hundred seventy-one million, one hundred twenty-one thousand, five hundred thirty-six".