11008120757832 has 512 divisors, whose sum is σ = 35861045760000. Its totient is φ = 3093666048000.

The previous prime is 11008120757819. The next prime is 11008120757833. The reversal of 11008120757832 is 23875702180011.

It is not an unprimeable number, because it can be changed into a prime (11008120757833) 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, 405785853 + ... + 405812979.

It is an arithmetic number, because the mean of its divisors is an integer number (70041105000).

Almost surely, 2^{11008120757832} is an apocalyptic number.

11008120757832 is a gapful number since it is divisible by the number (12) 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 11008120757832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17930522880000).

11008120757832 is an abundant number, since it is smaller than the sum of its proper divisors (24852925002168).

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

11008120757832 is a wasteful number, since it uses less digits than its factorization.

11008120757832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27362 (or 27352 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 11008120757832 in words is "eleven trillion, eight billion, one hundred twenty million, seven hundred fifty-seven thousand, eight hundred thirty-two".