185506050106000 has 160 divisors (see below), whose sum is σ = 483070650937056. Its totient is φ = 68492712960000.

The previous prime is 185506050105941. The next prime is 185506050106001. The reversal of 185506050106000 is 601050605581.

It can be written as a sum of positive squares in 16 ways, for example, as 123354964214784 + 62151085891216 = 11106528^2 + 7883596^2 .

It is a super-2 number, since 2×185506050106000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (185506050106001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332196380 + ... + 1332335620.

Almost surely, 2^{185506050106000} is an apocalyptic number.

185506050106000 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 185506050106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241535325468528).

185506050106000 is an abundant number, since it is smaller than the sum of its proper divisors (297564600831056).

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

185506050106000 is a wasteful number, since it uses less digits than its factorization.

185506050106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190518 (or 190502 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The spelling of 185506050106000 in words is "one hundred eighty-five trillion, five hundred six billion, fifty million, one hundred six thousand".