185368135680 has 1728 divisors, whose sum is σ = 852564061440. Its totient is φ = 36203397120.

The previous prime is 185368135661. The next prime is 185368135699. The reversal of 185368135680 is 86531863581.

185368135680 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 68 + 13 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (185368135661) and next prime (185368135699).

It is a super-2 number, since 2×185368135680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5979617265 + ... + 5979617295.

It is an arithmetic number, because the mean of its divisors is an integer number (493381980).

Almost surely, 2^185368135680 is an apocalyptic number.

185368135680 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 185368135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426282030720).

185368135680 is an abundant number, since it is smaller than the sum of its proper divisors (667195925760).

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

185368135680 is a wasteful number, since it uses less digits than its factorization.

185368135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 185368135680 in words is "one hundred eighty-five billion, three hundred sixty-eight million, one hundred thirty-five thousand, six hundred eighty".