180094986240 has 768 divisors, whose sum is σ = 674046696960. Its totient is φ = 40642805760.

The previous prime is 180094986209. The next prime is 180094986259. The reversal of 180094986240 is 42689490081.

180094986240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 278353597 + ... + 278354243.

It is an arithmetic number, because the mean of its divisors is an integer number (877664970).

Almost surely, 2^180094986240 is an apocalyptic number.

180094986240 is a gapful number since it is divisible by the number (10) 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 180094986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337023348480).

180094986240 is an abundant number, since it is smaller than the sum of its proper divisors (493951710720).

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

180094986240 is a wasteful number, since it uses less digits than its factorization.

180094986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 180094986240 in words is "one hundred eighty billion, ninety-four million, nine hundred eighty-six thousand, two hundred forty".