185668513380 has 576 divisors, whose sum is σ = 709502976000. Its totient is φ = 38320128000.

The previous prime is 185668513313. The next prime is 185668513421. The reversal of 185668513380 is 83315866581.

185668513380 is a `hidden beast` number, since 18 + 56 + 68 + 513 + 3 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 247228005 + ... + 247228755.

It is an arithmetic number, because the mean of its divisors is an integer number (1231776000).

Almost surely, 2^185668513380 is an apocalyptic number.

185668513380 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 185668513380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354751488000).

185668513380 is an abundant number, since it is smaller than the sum of its proper divisors (523834462620).

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

185668513380 is a wasteful number, since it uses less digits than its factorization.

185668513380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1259 counting only the distinct ones).

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

The spelling of 185668513380 in words is "one hundred eighty-five billion, six hundred sixty-eight million, five hundred thirteen thousand, three hundred eighty".