180561378816 has 960 divisors, whose sum is σ = 684211207680. Its totient is φ = 44511068160.

The previous prime is 180561378757. The next prime is 180561378839. The reversal of 180561378816 is 618873165081.

180561378816 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 613 + 7 + 8 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1043707306 + ... + 1043707478.

It is an arithmetic number, because the mean of its divisors is an integer number (712720008).

Almost surely, 2^180561378816 is an apocalyptic number.

180561378816 is a gapful number since it is divisible by the number (16) 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 180561378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342105603840).

180561378816 is an abundant number, since it is smaller than the sum of its proper divisors (503649828864).

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

180561378816 is a wasteful number, since it uses less digits than its factorization.

180561378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 180561378816 in words is "one hundred eighty billion, five hundred sixty-one million, three hundred seventy-eight thousand, eight hundred sixteen".