180795567775680 has 5376 divisors, whose sum is σ = 828150865920000. Its totient is φ = 36750535557120.

The previous prime is 180795567775651. The next prime is 180795567775721. The reversal of 180795567775680 is 86577765597081.

180795567775680 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 9 + 556 + 7 + 7 + 7 + 56 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 180795567775680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1213393072246 + ... + 1213393072394.

It is an arithmetic number, because the mean of its divisors is an integer number (154045920000).

Almost surely, 2^{180795567775680} is an apocalyptic number.

180795567775680 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 180795567775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414075432960000).

180795567775680 is an abundant number, since it is smaller than the sum of its proper divisors (647355298144320).

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

180795567775680 is a wasteful number, since it uses less digits than its factorization.

180795567775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6223392000, while the sum is 81.

The spelling of 180795567775680 in words is "one hundred eighty trillion, seven hundred ninety-five billion, five hundred sixty-seven million, seven hundred seventy-five thousand, six hundred eighty".