180412085700 has 1620 divisors, whose sum is σ = 784699057296. Its totient is φ = 35435232000.

The previous prime is 180412085677. The next prime is 180412085717. The reversal of 180412085700 is 7580214081.

180412085700 is a `hidden beast` number, since 1 + 80 + 4 + 1 + 2 + 0 + 8 + 570 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 4195629879 + ... + 4195629921.

Almost surely, 2^180412085700 is an apocalyptic number.

180412085700 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 180412085700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392349528648).

180412085700 is an abundant number, since it is smaller than the sum of its proper divisors (604286971596).

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

180412085700 is a wasteful number, since it uses less digits than its factorization.

180412085700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Adding to 180412085700 its reverse (7580214081), we get a palindrome (187992299781).

The spelling of 180412085700 in words is "one hundred eighty billion, four hundred twelve million, eighty-five thousand, seven hundred".