180641139120000 has 4800 divisors, whose sum is σ = 797590193938560. Its totient is φ = 40370503680000.

The previous prime is 180641139119999. The next prime is 180641139120131. The reversal of 180641139120000 is 21931146081.

180641139120000 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 411 + 39 + 1 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×180641139120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 577128239844 + ... + 577128240156.

Almost surely, 2^{180641139120000} is an apocalyptic number.

180641139120000 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 180641139120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398795096969280).

180641139120000 is an abundant number, since it is smaller than the sum of its proper divisors (616949054818560).

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

180641139120000 is a wasteful number, since it uses less digits than its factorization.

180641139120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 180641139120000 in words is "one hundred eighty trillion, six hundred forty-one billion, one hundred thirty-nine million, one hundred twenty thousand".