611331211205160 has 128 divisors (see below), whose sum is σ = 1853043105888000. Its totient is φ = 161330495901696.

The previous prime is 611331211205137. The next prime is 611331211205167. The reversal of 611331211205160 is 61502112133116.

It is a happy number.

It is a super-2 number, since 2×611331211205160² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (611331211205167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1795426 + ... + 35012654.

It is an arithmetic number, because the mean of its divisors is an integer number (14476899264750).

Almost surely, 2^{611331211205160} is an apocalyptic number.

611331211205160 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 611331211205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926521552944000).

611331211205160 is an abundant number, since it is smaller than the sum of its proper divisors (1241711894682840).

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

611331211205160 is a wasteful number, since it uses less digits than its factorization.

611331211205160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33218835 (or 33218831 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 611331211205160 its reverse (61502112133116), we get a palindrome (672833323338276).

The spelling of 611331211205160 in words is "six hundred eleven trillion, three hundred thirty-one billion, two hundred eleven million, two hundred five thousand, one hundred sixty".