181830206800 has 120 divisors (see below), whose sum is σ = 476772734592. Its totient is φ = 66090624000.

The previous prime is 181830206791. The next prime is 181830206821. The reversal of 181830206800 is 8602038181.

It is a self number, because there is not a number n which added to its sum of digits gives 181830206800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11506905 + ... + 11522695.

Almost surely, 2^181830206800 is an apocalyptic number.

181830206800 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 181830206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238386367296).

181830206800 is an abundant number, since it is smaller than the sum of its proper divisors (294942527792).

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

181830206800 is a wasteful number, since it uses less digits than its factorization.

181830206800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18437 (or 18426 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 181830206800 in words is "one hundred eighty-one billion, eight hundred thirty million, two hundred six thousand, eight hundred".