201584540160 has 1280 divisors, whose sum is σ = 801377280000. Its totient is φ = 47823519744.

The previous prime is 201584540149. The next prime is 201584540177. The reversal of 201584540160 is 61045485102.

It is a happy number.

201584540160 is a `hidden beast` number, since 2 + 0 + 1 + 58 + 4 + 540 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2551703001 + ... + 2551703079.

It is an arithmetic number, because the mean of its divisors is an integer number (626076000).

Almost surely, 2^201584540160 is an apocalyptic number.

201584540160 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 201584540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400688640000).

201584540160 is an abundant number, since it is smaller than the sum of its proper divisors (599792739840).

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

201584540160 is a wasteful number, since it uses less digits than its factorization.

201584540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 201584540160 in words is "two hundred one billion, five hundred eighty-four million, five hundred forty thousand, one hundred sixty".