6161353420200 has 288 divisors, whose sum is σ = 20999201590080. Its totient is φ = 1493321984000.

The previous prime is 6161353420169. The next prime is 6161353420217. The reversal of 6161353420200 is 20243531616.

It is a super-3 number, since 3×6161353420200³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 493020352 + ... + 493032848.

It is an arithmetic number, because the mean of its divisors is an integer number (72913894410).

Almost surely, 2^{6161353420200} is an apocalyptic number.

6161353420200 is a gapful number since it is divisible by the number (60) 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 6161353420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499600795040).

6161353420200 is an abundant number, since it is smaller than the sum of its proper divisors (14837848169880).

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

6161353420200 is a wasteful number, since it uses less digits than its factorization.

6161353420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19329 (or 19309 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 6161353420200 its reverse (20243531616), we get a palindrome (6181596951816).

The spelling of 6161353420200 in words is "six trillion, one hundred sixty-one billion, three hundred fifty-three million, four hundred twenty thousand, two hundred".