11998036229760 has 2304 divisors, whose sum is σ = 53580986784000. Its totient is φ = 2454940680192.

The previous prime is 11998036229749. The next prime is 11998036229807. The reversal of 11998036229760 is 6792263089911.

11998036229760 is a `hidden beast` number, since 1 + 199 + 8 + 0 + 362 + 29 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10977159774 + ... + 10977160866.

It is an arithmetic number, because the mean of its divisors is an integer number (23255636625).

Almost surely, 2^{11998036229760} is an apocalyptic number.

11998036229760 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 11998036229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26790493392000).

11998036229760 is an abundant number, since it is smaller than the sum of its proper divisors (41582950554240).

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

11998036229760 is a wasteful number, since it uses less digits than its factorization.

11998036229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 11998036229760 in words is "eleven trillion, nine hundred ninety-eight billion, thirty-six million, two hundred twenty-nine thousand, seven hundred sixty".