202065256402296 has 768 divisors, whose sum is σ = 617902617600000. Its totient is φ = 54851105498112.

The previous prime is 202065256402291. The next prime is 202065256402349. The reversal of 202065256402296 is 692204652560202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202065256402291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219875142525 + ... + 219875143443.

It is an arithmetic number, because the mean of its divisors is an integer number (804560700000).

Almost surely, 2^{202065256402296} 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 202065256402296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308951308800000).

202065256402296 is an abundant number, since it is smaller than the sum of its proper divisors (415837361197704).

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

202065256402296 is a wasteful number, since it uses less digits than its factorization.

202065256402296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 202065256402296 in words is "two hundred two trillion, sixty-five billion, two hundred fifty-six million, four hundred two thousand, two hundred ninety-six".