1135505352320 has 128 divisors (see below), whose sum is σ = 2765744047440. Its totient is φ = 445702569984.

The previous prime is 1135505352307. The next prime is 1135505352349. The reversal of 1135505352320 is 232535055311.

It can be written as a sum of positive squares in 8 ways, for example, as 862862641216 + 272642711104 = 928904^2 + 522152^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9142154 + ... + 9265526.

Almost surely, 2^{1135505352320} is an apocalyptic number.

1135505352320 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 1135505352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382872023720).

1135505352320 is an abundant number, since it is smaller than the sum of its proper divisors (1630238695120).

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

1135505352320 is a wasteful number, since it uses less digits than its factorization.

1135505352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123662 (or 123650 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

The spelling of 1135505352320 in words is "one trillion, one hundred thirty-five billion, five hundred five million, three hundred fifty-two thousand, three hundred twenty".