11048733097920 has 1792 divisors, whose sum is σ = 47263097548800. Its totient is φ = 2406392561664.

The previous prime is 11048733097859. The next prime is 11048733097937. The reversal of 11048733097920 is 2979033784011.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11791603692 + ... + 11791604628.

It is an arithmetic number, because the mean of its divisors is an integer number (26374496400).

Almost surely, 2^{11048733097920} is an apocalyptic number.

11048733097920 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 11048733097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631548774400).

11048733097920 is an abundant number, since it is smaller than the sum of its proper divisors (36214364450880).

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

11048733097920 is an frugal number, since it uses more digits than its factorization.

11048733097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 11048733097920 in words is "eleven trillion, forty-eight billion, seven hundred thirty-three million, ninety-seven thousand, nine hundred twenty".