180188122563072 has 240 divisors, whose sum is σ = 560351552080320. Its totient is φ = 55411440869376.

The previous prime is 180188122563061. The next prime is 180188122563079. The reversal of 180188122563072 is 270365221881081.

It is a happy number.

180188122563072 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 8 + 8 + 1 + 2 + 2 + 563 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (180188122563079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106206829 + ... + 107890067.

It is an arithmetic number, because the mean of its divisors is an integer number (2334798133668).

Almost surely, 2^{180188122563072} is an apocalyptic number.

180188122563072 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 180188122563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280175776040160).

180188122563072 is an abundant number, since it is smaller than the sum of its proper divisors (380163429517248).

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

180188122563072 is a wasteful number, since it uses less digits than its factorization.

180188122563072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685063 (or 1685044 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 180188122563072 in words is "one hundred eighty trillion, one hundred eighty-eight billion, one hundred twenty-two million, five hundred sixty-three thousand, seventy-two".