6011233113600 has 2880 divisors, whose sum is σ = 26596297728000. Its totient is φ = 1276674048000.

The previous prime is 6011233113583. The next prime is 6011233113607. The reversal of 6011233113600 is 63113321106.

6011233113600 is a `hidden beast` number, since 6 + 0 + 1 + 1 + 23 + 31 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×6011233113600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6011233113607) 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 287 ways as a sum of consecutive naturals, for example, 40343846326 + ... + 40343846474.

It is an arithmetic number, because the mean of its divisors is an integer number (9234825600).

Almost surely, 2^{6011233113600} is an apocalyptic number.

6011233113600 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 6011233113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13298148864000).

6011233113600 is an abundant number, since it is smaller than the sum of its proper divisors (20585064614400).

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

6011233113600 is a wasteful number, since it uses less digits than its factorization.

6011233113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 6011233113600 its reverse (63113321106), we get a palindrome (6074346434706).

The spelling of 6011233113600 in words is "six trillion, eleven billion, two hundred thirty-three million, one hundred thirteen thousand, six hundred".