1135345555520 has 336 divisors, whose sum is σ = 3109221884160. Its totient is φ = 394824432640.

The previous prime is 1135345555511. The next prime is 1135345555537. The reversal of 1135345555520 is 255555435311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225309161 + ... + 225314199.

It is an arithmetic number, because the mean of its divisors is an integer number (9253636560).

Almost surely, 2^{1135345555520} is an apocalyptic number.

1135345555520 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 1135345555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554610942080).

1135345555520 is an abundant number, since it is smaller than the sum of its proper divisors (1973876328640).

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

1135345555520 is an equidigital number, since it uses as much as digits as its factorization.

1135345555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 44.

The spelling of 1135345555520 in words is "one trillion, one hundred thirty-five billion, three hundred forty-five million, five hundred fifty-five thousand, five hundred twenty".