1135035120520 has 128 divisors (see below), whose sum is σ = 2926938240000. Its totient is φ = 388052755200.

The previous prime is 1135035120467. The next prime is 1135035120547. The reversal of 1135035120520 is 250215305311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219497535 + ... + 219502705.

It is an arithmetic number, because the mean of its divisors is an integer number (22866705000).

Almost surely, 2^{1135035120520} is an apocalyptic number.

1135035120520 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 1135035120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463469120000).

1135035120520 is an abundant number, since it is smaller than the sum of its proper divisors (1791903119480).

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

1135035120520 is a wasteful number, since it uses less digits than its factorization.

1135035120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 1135035120520 in words is "one trillion, one hundred thirty-five billion, thirty-five million, one hundred twenty thousand, five hundred twenty".