185905795152 has 160 divisors (see below), whose sum is σ = 600715551744. Its totient is φ = 48129638400.

The previous prime is 185905795099. The next prime is 185905795177. The reversal of 185905795152 is 251597509581.

It is a junction number, because it is equal to n+sod(n) for n = 185905795092 and 185905795101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052752 + ... + 1216592.

Almost surely, 2^185905795152 is an apocalyptic number.

185905795152 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 185905795152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300357775872).

185905795152 is an abundant number, since it is smaller than the sum of its proper divisors (414809756592).

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

185905795152 is a wasteful number, since it uses less digits than its factorization.

185905795152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164177 (or 164171 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 57.

The spelling of 185905795152 in words is "one hundred eighty-five billion, nine hundred five million, seven hundred ninety-five thousand, one hundred fifty-two".