11019798128000 has 256 divisors, whose sum is σ = 27712726179840. Its totient is φ = 4357530777600.

The previous prime is 11019798127991. The next prime is 11019798128023. The reversal of 11019798128000 is 82189791011.

It is a congruent number.

It is an unprimeable number.

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, 575046419 + ... + 575065581.

It is an arithmetic number, because the mean of its divisors is an integer number (108252836640).

Almost surely, 2^{11019798128000} is an apocalyptic number.

11019798128000 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 11019798128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856363089920).

11019798128000 is an abundant number, since it is smaller than the sum of its proper divisors (16692928051840).

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

11019798128000 is a wasteful number, since it uses less digits than its factorization.

11019798128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19602 (or 19580 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 47.

The spelling of 11019798128000 in words is "eleven trillion, nineteen billion, seven hundred ninety-eight million, one hundred twenty-eight thousand".