201652779952000 has 1024 divisors, whose sum is σ = 579339371520000. Its totient is φ = 69178613760000.

The previous prime is 201652779951971. The next prime is 201652779952003. The reversal of 201652779952000 is 259977256102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201652779952003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140133967281 + ... + 140133968719.

It is an arithmetic number, because the mean of its divisors is an integer number (565761105000).

Almost surely, 2^{201652779952000} is an apocalyptic number.

201652779952000 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 201652779952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289669685760000).

201652779952000 is an abundant number, since it is smaller than the sum of its proper divisors (377686591568000).

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

201652779952000 is a wasteful number, since it uses less digits than its factorization.

201652779952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 201652779952000 in words is "two hundred one trillion, six hundred fifty-two billion, seven hundred seventy-nine million, nine hundred fifty-two thousand".