201769085952 has 1056 divisors, whose sum is σ = 735740928000. Its totient is φ = 53106278400.

The previous prime is 201769085941. The next prime is 201769086007. The reversal of 201769085952 is 259580967102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2841818077 + ... + 2841818147.

Almost surely, 2^201769085952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201769085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367870464000).

201769085952 is an abundant number, since it is smaller than the sum of its proper divisors (533971842048).

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

201769085952 is a wasteful number, since it uses less digits than its factorization.

201769085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 201769085952 in words is "two hundred one billion, seven hundred sixty-nine million, eighty-five thousand, nine hundred fifty-two".