11368289433120 has 768 divisors, whose sum is σ = 38097641336832. Its totient is φ = 2846063001600.

The previous prime is 11368289433091. The next prime is 11368289433121. The reversal of 11368289433120 is 2133498286311.

It is a super-3 number, since 3×11368289433120³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11368289433121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18728647857 + ... + 18728648463.

It is an arithmetic number, because the mean of its divisors is an integer number (49606303824).

Almost surely, 2^{11368289433120} is an apocalyptic number.

11368289433120 is a gapful number since it is divisible by the number (10) 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 11368289433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048820668416).

11368289433120 is an abundant number, since it is smaller than the sum of its proper divisors (26729351903712).

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

11368289433120 is a wasteful number, since it uses less digits than its factorization.

11368289433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 11368289433120 in words is "eleven trillion, three hundred sixty-eight billion, two hundred eighty-nine million, four hundred thirty-three thousand, one hundred twenty".