185480505630 has 192 divisors, whose sum is σ = 576373045248. Its totient is φ = 40462836480.

The previous prime is 185480505599. The next prime is 185480505659. The reversal of 185480505630 is 36505084581.

185480505630 is a `hidden beast` number, since 1 + 8 + 5 + 4 + 8 + 0 + 5 + 0 + 5 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6666007 + ... + 6693773.

It is an arithmetic number, because the mean of its divisors is an integer number (3001942944).

Almost surely, 2^185480505630 is an apocalyptic number.

185480505630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 185480505630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288186522624).

185480505630 is an abundant number, since it is smaller than the sum of its proper divisors (390892539618).

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

185480505630 is a wasteful number, since it uses less digits than its factorization.

185480505630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28271 (or 28268 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 185480505630 in words is "one hundred eighty-five billion, four hundred eighty million, five hundred five thousand, six hundred thirty".