180897141040 has 480 divisors, whose sum is σ = 567788659200. Its totient is φ = 51926261760.

The previous prime is 180897141023. The next prime is 180897141053. The reversal of 180897141040 is 40141798081.

It is a happy number.

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, 160227196 + ... + 160228324.

It is an arithmetic number, because the mean of its divisors is an integer number (1182893040).

Almost surely, 2^180897141040 is an apocalyptic number.

180897141040 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 180897141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283894329600).

180897141040 is an abundant number, since it is smaller than the sum of its proper divisors (386891518160).

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

180897141040 is a wasteful number, since it uses less digits than its factorization.

180897141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The spelling of 180897141040 in words is "one hundred eighty billion, eight hundred ninety-seven million, one hundred forty-one thousand, forty".