180104145960960 has 2048 divisors, whose sum is σ = 711421452403200. Its totient is φ = 42949756846080.

The previous prime is 180104145960943. The next prime is 180104145961063. The reversal of 180104145960960 is 69069541401081.

180104145960960 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 0 + 41 + 4 + 596 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is a junction number, because it is equal to n+sod(n) for n = 180104145960897 and 180104145960906.

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 127 ways as a sum of consecutive naturals, for example, 427800821550 + ... + 427800821970.

Almost surely, 2^{180104145960960} is an apocalyptic number.

180104145960960 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 180104145960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355710726201600).

180104145960960 is an abundant number, since it is smaller than the sum of its proper divisors (531317306442240).

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

180104145960960 is a wasteful number, since it uses less digits than its factorization.

180104145960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 180104145960960 in words is "one hundred eighty trillion, one hundred four billion, one hundred forty-five million, nine hundred sixty thousand, nine hundred sixty".