180821411057664 has 2080 divisors, whose sum is σ = 642312585446400. Its totient is φ = 50032510894080.

The previous prime is 180821411057629. The next prime is 180821411057669. The reversal of 180821411057664 is 466750114128081.

180821411057664 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 2 + 1 + 4 + 1 + 1 + 0 + 576 + 64 = 666.

It is a super-2 number, since 2×180821411057664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 180821411057664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180821411057669) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1380316114879 + ... + 1380316115009.

Almost surely, 2^{180821411057664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180821411057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321156292723200).

180821411057664 is an abundant number, since it is smaller than the sum of its proper divisors (461491174388736).

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

180821411057664 is an equidigital number, since it uses as much as digits as its factorization.

180821411057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 180821411057664 in words is "one hundred eighty trillion, eight hundred twenty-one billion, four hundred eleven million, fifty-seven thousand, six hundred sixty-four".