202011935106852 has 480 divisors, whose sum is σ = 589873838400000. Its totient is φ = 59857266180096.

The previous prime is 202011935106727. The next prime is 202011935106857. The reversal of 202011935106852 is 258601539110202.

202011935106852 is a `hidden beast` number, since 2 + 0 + 20 + 1 + 1 + 9 + 3 + 510 + 68 + 52 = 666.

It is a super-2 number, since 2×202011935106852² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202011935106798 and 202011935106807.

It is not an unprimeable number, because it can be changed into a prime (202011935106857) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143372557924 + ... + 143372559332.

It is an arithmetic number, because the mean of its divisors is an integer number (1228903830000).

Almost surely, 2^{202011935106852} 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 202011935106852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294936919200000).

202011935106852 is an abundant number, since it is smaller than the sum of its proper divisors (387861903293148).

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

202011935106852 is a wasteful number, since it uses less digits than its factorization.

202011935106852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 202011935106852 in words is "two hundred two trillion, eleven billion, nine hundred thirty-five million, one hundred six thousand, eight hundred fifty-two".