1135106042880 has 176 divisors, whose sum is σ = 3632004545760. Its totient is φ = 302574993408.

The previous prime is 1135106042857. The next prime is 1135106042887. The reversal of 1135106042880 is 882406015311.

It is not an unprimeable number, because it can be changed into a prime (1135106042887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42825792 + ... + 42852288.

Almost surely, 2^{1135106042880} is an apocalyptic number.

1135106042880 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 1135106042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816002272880).

1135106042880 is an abundant number, since it is smaller than the sum of its proper divisors (2496898502880).

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

1135106042880 is a wasteful number, since it uses less digits than its factorization.

1135106042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29314 (or 29296 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 1135106042880 in words is "one trillion, one hundred thirty-five billion, one hundred six million, forty-two thousand, eight hundred eighty".