201659727265920 has 1152 divisors, whose sum is σ = 890139855945600. Its totient is φ = 41597368565760.

The previous prime is 201659727265883. The next prime is 201659727265933. The reversal of 201659727265920 is 29562727956102.

201659727265920 is a `hidden beast` number, since 2 + 0 + 16 + 5 + 9 + 7 + 2 + 7 + 26 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 425098621 + ... + 425572739.

It is an arithmetic number, because the mean of its divisors is an integer number (772690847175).

Almost surely, 2^{201659727265920} is an apocalyptic number.

201659727265920 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 201659727265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445069927972800).

201659727265920 is an abundant number, since it is smaller than the sum of its proper divisors (688480128679680).

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

201659727265920 is a wasteful number, since it uses less digits than its factorization.

201659727265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474306 (or 474284 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 201659727265920 in words is "two hundred one trillion, six hundred fifty-nine billion, seven hundred twenty-seven million, two hundred sixty-five thousand, nine hundred twenty".