201196469566080 has 1536 divisors, whose sum is σ = 756644165222400. Its totient is φ = 51024992256000.

The previous prime is 201196469566051. The next prime is 201196469566091. The reversal of 201196469566080 is 80665964691102.

201196469566080 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 9 + 6 + 4 + 69 + 566 + 0 + 8 + 0 = 666.

It is a super-3 number, since 3×201196469566080³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201196469565999 and 201196469566017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133154512525 + ... + 133154514035.

It is an arithmetic number, because the mean of its divisors is an integer number (492606878400).

Almost surely, 2^{201196469566080} is an apocalyptic number.

201196469566080 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 201196469566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378322082611200).

201196469566080 is an abundant number, since it is smaller than the sum of its proper divisors (555447695656320).

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

201196469566080 is a wasteful number, since it uses less digits than its factorization.

201196469566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 201196469566080 in words is "two hundred one trillion, one hundred ninety-six billion, four hundred sixty-nine million, five hundred sixty-six thousand, eighty".