201047809920 has 512 divisors, whose sum is σ = 731762035200. Its totient is φ = 46631485440.

The previous prime is 201047809889. The next prime is 201047809933. The reversal of 201047809920 is 29908740102.

201047809920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 25422607 + ... + 25430513.

It is an arithmetic number, because the mean of its divisors is an integer number (1429222725).

Almost surely, 2^201047809920 is an apocalyptic number.

201047809920 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 201047809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365881017600).

201047809920 is an abundant number, since it is smaller than the sum of its proper divisors (530714225280).

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

201047809920 is a wasteful number, since it uses less digits than its factorization.

201047809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 201047809920 in words is "two hundred one billion, forty-seven million, eight hundred nine thousand, nine hundred twenty".