180411829908480 has 880 divisors, whose sum is σ = 667958148384384. Its totient is φ = 46534291292160.

The previous prime is 180411829908449. The next prime is 180411829908493. The reversal of 180411829908480 is 84809928114081.

180411829908480 is a `hidden beast` number, since 1 + 8 + 0 + 41 + 1 + 8 + 29 + 90 + 8 + 480 = 666.

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 1836745770 + ... + 1836843990.

Almost surely, 2^{180411829908480} is an apocalyptic number.

180411829908480 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 180411829908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333979074192192).

180411829908480 is an abundant number, since it is smaller than the sum of its proper divisors (487546318475904).

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

180411829908480 is a wasteful number, since it uses less digits than its factorization.

180411829908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98404 (or 98377 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 63.

The spelling of 180411829908480 in words is "one hundred eighty trillion, four hundred eleven billion, eight hundred twenty-nine million, nine hundred eight thousand, four hundred eighty".