180097500000 has 768 divisors, whose sum is σ = 673310776320. Its totient is φ = 41760000000.

The previous prime is 180097499999. The next prime is 180097500017. The reversal of 180097500000 is 5790081.

180097500000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3052499971 + ... + 3052500029.

It is an arithmetic number, because the mean of its divisors is an integer number (876706740).

Almost surely, 2^180097500000 is an apocalyptic number.

180097500000 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 180097500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336655388160).

180097500000 is an abundant number, since it is smaller than the sum of its proper divisors (493213276320).

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

180097500000 is an frugal number, since it uses more digits than its factorization.

180097500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 180097500000 in words is "one hundred eighty billion, ninety-seven million, five hundred thousand".