201916569680 has 90 divisors (see below), whose sum is σ = 546178007214. Its totient is φ = 69218892288.

The previous prime is 201916569667. The next prime is 201916569683. The reversal of 201916569680 is 86965619102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 113310331456 + 88606238224 = 336616^2 + 297668^2 .

It is a super-2 number, since 2×201916569680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201916569683) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28130252 + ... + 28137428.

Almost surely, 2^201916569680 is an apocalyptic number.

201916569680 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 201916569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273089003607).

201916569680 is an abundant number, since it is smaller than the sum of its proper divisors (344261437534).

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

201916569680 is an frugal number, since it uses more digits than its factorization.

201916569680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14381 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 53.

The spelling of 201916569680 in words is "two hundred one billion, nine hundred sixteen million, five hundred sixty-nine thousand, six hundred eighty".