11129786825752 has 192 divisors, whose sum is σ = 25036269782400. Its totient is φ = 4622585425920.

The previous prime is 11129786825687. The next prime is 11129786825761. The reversal of 11129786825752 is 25752868792111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032346602 + ... + 1032357382.

It is an arithmetic number, because the mean of its divisors is an integer number (130397238450).

Almost surely, 2^{11129786825752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11129786825752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12518134891200).

11129786825752 is an abundant number, since it is smaller than the sum of its proper divisors (13906482956648).

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

11129786825752 is a wasteful number, since it uses less digits than its factorization.

11129786825752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394 (or 11383 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 64.

The spelling of 11129786825752 in words is "eleven trillion, one hundred twenty-nine billion, seven hundred eighty-six million, eight hundred twenty-five thousand, seven hundred fifty-two".