180196164000 has 576 divisors, whose sum is σ = 670975643520. Its totient is φ = 47489587200.

The previous prime is 180196163957. The next prime is 180196164007. The reversal of 180196164000 is 461691081.

It is a happy number.

180196164000 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 9 + 6 + 1 + 640 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (180196164007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86506959 + ... + 86509041.

It is an arithmetic number, because the mean of its divisors is an integer number (1164888270).

Almost surely, 2^180196164000 is an apocalyptic number.

180196164000 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 180196164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335487821760).

180196164000 is an abundant number, since it is smaller than the sum of its proper divisors (490779479520).

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

180196164000 is an equidigital number, since it uses as much as digits as its factorization.

180196164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 180196164000 in words is "one hundred eighty billion, one hundred ninety-six million, one hundred sixty-four thousand".