1135126865088 has 336 divisors, whose sum is σ = 3457418820480. Its totient is φ = 365190197760.

The previous prime is 1135126865083. The next prime is 1135126865111. The reversal of 1135126865088 is 8805686215311.

1135126865088 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 126 + 8 + 6 + 508 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1135126865083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868497331 + ... + 868498637.

Almost surely, 2^{1135126865088} is an apocalyptic number.

1135126865088 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 1135126865088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728709410240).

1135126865088 is an abundant number, since it is smaller than the sum of its proper divisors (2322291955392).

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

1135126865088 is a wasteful number, since it uses less digits than its factorization.

1135126865088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 1135126865088 in words is "one trillion, one hundred thirty-five billion, one hundred twenty-six million, eight hundred sixty-five thousand, eighty-eight".