201166695028800 has 3024 divisors, whose sum is σ = 801387446670720. Its totient is φ = 49600180224000.

The previous prime is 201166695028757. The next prime is 201166695028801. The reversal of 201166695028800 is 8820596661102.

201166695028800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (201166695028801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 886196894287 + ... + 886196894513.

It is an arithmetic number, because the mean of its divisors is an integer number (265009076280).

Almost surely, 2^{201166695028800} is an apocalyptic number.

201166695028800 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 201166695028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400693723335360).

201166695028800 is an abundant number, since it is smaller than the sum of its proper divisors (600220751641920).

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

201166695028800 is an equidigital number, since it uses as much as digits as its factorization.

201166695028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 201166695028800 in words is "two hundred one trillion, one hundred sixty-six billion, six hundred ninety-five million, twenty-eight thousand, eight hundred".