180986833728 has 224 divisors, whose sum is σ = 537812284800. Its totient is φ = 59680862208.

The previous prime is 180986833721. The next prime is 180986833757. The reversal of 180986833728 is 827338689081.

180986833728 is a `hidden beast` number, since 180 + 9 + 8 + 6 + 83 + 372 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180986833721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76139676 + ... + 76142052.

It is an arithmetic number, because the mean of its divisors is an integer number (2400947700).

Almost surely, 2^180986833728 is an apocalyptic number.

180986833728 is a gapful number since it is divisible by the number (18) 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 180986833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268906142400).

180986833728 is an abundant number, since it is smaller than the sum of its proper divisors (356825451072).

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

180986833728 is a wasteful number, since it uses less digits than its factorization.

180986833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 180986833728 in words is "one hundred eighty billion, nine hundred eighty-six million, eight hundred thirty-three thousand, seven hundred twenty-eight".