185680160352 has 192 divisors, whose sum is σ = 572041451520. Its totient is φ = 58503513600.

The previous prime is 185680160333. The next prime is 185680160371. The reversal of 185680160352 is 253061086581.

185680160352 is a `hidden beast` number, since 1 + 85 + 68 + 0 + 160 + 352 = 666.

185680160352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (185680160333) and next prime (185680160371).

It is a junction number, because it is equal to n+sod(n) for n = 185680160298 and 185680160307.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1071102 + ... + 1232322.

It is an arithmetic number, because the mean of its divisors is an integer number (2979382560).

Almost surely, 2^185680160352 is an apocalyptic number.

185680160352 is a gapful number since it is divisible by the number (12) 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 185680160352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286020725760).

185680160352 is an abundant number, since it is smaller than the sum of its proper divisors (386361291168).

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

185680160352 is a wasteful number, since it uses less digits than its factorization.

185680160352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161314 (or 161300 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 185680160352 in words is "one hundred eighty-five billion, six hundred eighty million, one hundred sixty thousand, three hundred fifty-two".