6000111358920 has 768 divisors, whose sum is σ = 24265433088000. Its totient is φ = 1254785126400.

The previous prime is 6000111358903. The next prime is 6000111358957. The reversal of 6000111358920 is 298531110006.

6000111358920 is a `hidden beast` number, since 60 + 0 + 0 + 1 + 1 + 13 + 589 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 773306001 + ... + 773313759.

It is an arithmetic number, because the mean of its divisors is an integer number (31595616000).

Almost surely, 2^{6000111358920} is an apocalyptic number.

6000111358920 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 6000111358920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132716544000).

6000111358920 is an abundant number, since it is smaller than the sum of its proper divisors (18265321729080).

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

6000111358920 is a wasteful number, since it uses less digits than its factorization.

6000111358920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 6000111358920 its reverse (298531110006), we get a palindrome (6298642468926).

The spelling of 6000111358920 in words is "six trillion, one hundred eleven million, three hundred fifty-eight thousand, nine hundred twenty".