201606514560 has 192 divisors, whose sum is σ = 759461142960. Its totient is φ = 48874291200.

The previous prime is 201606514541. The next prime is 201606514573. The reversal of 201606514560 is 65415606102.

201606514560 is a `hidden beast` number, since 2 + 0 + 1 + 606 + 5 + 1 + 45 + 6 + 0 = 666.

201606514560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1527601 + ... + 1654320.

Almost surely, 2^201606514560 is an apocalyptic number.

201606514560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201606514560 is an abundant number, since it is smaller than the sum of its proper divisors (557854628400).

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

201606514560 is a wasteful number, since it uses less digits than its factorization.

201606514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181957 (or 3181942 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 2016065 and 14560, that added together give a square (2030625 = 1425²).

The spelling of 201606514560 in words is "two hundred one billion, six hundred six million, five hundred fourteen thousand, five hundred sixty".