1135528267068 has 288 divisors, whose sum is σ = 3288054813120. Its totient is φ = 338491146240.

The previous prime is 1135528267063. The next prime is 1135528267087. The reversal of 1135528267068 is 8607628255311.

1135528267068 is a `hidden beast` number, since 1 + 1 + 3 + 552 + 8 + 26 + 7 + 0 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135528267063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162749596 + ... + 162756572.

It is an arithmetic number, because the mean of its divisors is an integer number (11416856990).

Almost surely, 2^{1135528267068} is an apocalyptic number.

1135528267068 is a gapful number since it is divisible by the number (18) 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 1135528267068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644027406560).

1135528267068 is an abundant number, since it is smaller than the sum of its proper divisors (2152526546052).

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

1135528267068 is a wasteful number, since it uses less digits than its factorization.

1135528267068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1135528267068 in words is "one trillion, one hundred thirty-five billion, five hundred twenty-eight million, two hundred sixty-seven thousand, sixty-eight".