180377325586080 has 864 divisors, whose sum is σ = 727851799479168. Its totient is φ = 40551385190400.

The previous prime is 180377325586063. The next prime is 180377325586109. The reversal of 180377325586080 is 80685523773081.

180377325586080 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 7 + 73 + 2 + 558 + 6 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 180377325585999 and 180377325586017.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2109066199 + ... + 2109151721.

It is an arithmetic number, because the mean of its divisors is an integer number (842421064212).

Almost surely, 2^{180377325586080} is an apocalyptic number.

180377325586080 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 180377325586080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363925899739584).

180377325586080 is an abundant number, since it is smaller than the sum of its proper divisors (547474473893088).

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

180377325586080 is a wasteful number, since it uses less digits than its factorization.

180377325586080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86050 (or 86032 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 180377325586080 in words is "one hundred eighty trillion, three hundred seventy-seven billion, three hundred twenty-five million, five hundred eighty-six thousand, eighty".