180920999952 has 480 divisors, whose sum is σ = 665444742144. Its totient is φ = 46217433600.

The previous prime is 180920999933. The next prime is 180920999983. The reversal of 180920999952 is 259999029081.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 180920999952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18256983 + ... + 18266889.

Almost surely, 2^180920999952 is an apocalyptic number.

180920999952 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 180920999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332722371072).

180920999952 is an abundant number, since it is smaller than the sum of its proper divisors (484523742192).

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

180920999952 is a wasteful number, since it uses less digits than its factorization.

180920999952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 180920999952 in words is "one hundred eighty billion, nine hundred twenty million, nine hundred ninety-nine thousand, nine hundred fifty-two".