200985802752 has 384 divisors, whose sum is σ = 637646929920. Its totient is φ = 55088087040.

The previous prime is 200985802649. The next prime is 200985802757. The reversal of 200985802752 is 257208589002.

It is a happy number.

200985802752 is digitally balanced in base 3, 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200985802757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169321903 + ... + 169323089.

It is an arithmetic number, because the mean of its divisors is an integer number (1660538880).

Almost surely, 2^200985802752 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 200985802752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318823464960).

200985802752 is an abundant number, since it is smaller than the sum of its proper divisors (436661127168).

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

200985802752 is a wasteful number, since it uses less digits than its factorization.

200985802752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 200985802752 in words is "two hundred billion, nine hundred eighty-five million, eight hundred two thousand, seven hundred fifty-two".