1135520869032 has 288 divisors, whose sum is σ = 3468335892840. Its totient is φ = 335169331200.

The previous prime is 1135520869013. The next prime is 1135520869081. The reversal of 1135520869032 is 2309680255311.

1135520869032 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 520 + 8 + 6 + 90 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 669886593156 + 465634275876 = 818466^2 + 682374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261819568 + ... + 261823904.

Almost surely, 2^{1135520869032} is an apocalyptic number.

1135520869032 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 1135520869032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734167946420).

1135520869032 is an abundant number, since it is smaller than the sum of its proper divisors (2332815023808).

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

1135520869032 is a wasteful number, since it uses less digits than its factorization.

1135520869032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1135520869032 in words is "one trillion, one hundred thirty-five billion, five hundred twenty million, eight hundred sixty-nine thousand, thirty-two".