180385200400 has 120 divisors (see below), whose sum is σ = 452617530624. Its totient is φ = 68955955200.

The previous prime is 180385200313. The next prime is 180385200427. The reversal of 180385200400 is 4002583081.

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, 11188345 + ... + 11204455.

Almost surely, 2^180385200400 is an apocalyptic number.

180385200400 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 180385200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226308765312).

180385200400 is an abundant number, since it is smaller than the sum of its proper divisors (272232330224).

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

180385200400 is a wasteful number, since it uses less digits than its factorization.

180385200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17369 (or 17358 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 180385200400 its reverse (4002583081), we get a palindrome (184387783481).

The spelling of 180385200400 in words is "one hundred eighty billion, three hundred eighty-five million, two hundred thousand, four hundred".