1149835135680 has 2016 divisors, whose sum is σ = 5321783420928. Its totient is φ = 221261414400.

The previous prime is 1149835135663. The next prime is 1149835135751. The reversal of 1149835135680 is 865315389411.

1149835135680 is a `hidden beast` number, since 1 + 1 + 49 + 8 + 3 + 513 + 5 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4242933945 + ... + 4242934215.

Almost surely, 2^{1149835135680} is an apocalyptic number.

1149835135680 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 1149835135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660891710464).

1149835135680 is an abundant number, since it is smaller than the sum of its proper divisors (4171948285248).

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

1149835135680 is a wasteful number, since it uses less digits than its factorization.

1149835135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1149835135680 in words is "one trillion, one hundred forty-nine billion, eight hundred thirty-five million, one hundred thirty-five thousand, six hundred eighty".