201180672000 has 2184 divisors, whose sum is σ = 955295623152. Its totient is φ = 41803776000.

The previous prime is 201180671987. The next prime is 201180672001. The reversal of 201180672000 is 276081102.

It is a Jordan-Polya number, since it can be written as 11! ⋅ 7!.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201180672001) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 18289151995 + ... + 18289152005.

Almost surely, 2^201180672000 is an apocalyptic number.

201180672000 is a gapful number since it is divisible by the number (20) 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 201180672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477647811576).

201180672000 is an abundant number, since it is smaller than the sum of its proper divisors (754114951152).

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

201180672000 is an frugal number, since it uses more digits than its factorization.

201180672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 201180672000 in words is "two hundred one billion, one hundred eighty million, six hundred seventy-two thousand".