1130960991888 has 640 divisors, whose sum is σ = 4098337689600. Its totient is φ = 290626818048.

The previous prime is 1130960991887. The next prime is 1130960991899. The reversal of 1130960991888 is 8881990690311.

1130960991888 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 9 + 609 + 9 + 18 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1130960991887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1367546131 + ... + 1367546957.

It is an arithmetic number, because the mean of its divisors is an integer number (6403652640).

Almost surely, 2^{1130960991888} is an apocalyptic number.

1130960991888 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 1130960991888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049168844800).

1130960991888 is an abundant number, since it is smaller than the sum of its proper divisors (2967376697712).

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

1130960991888 is a wasteful number, since it uses less digits than its factorization.

1130960991888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 1130960991888 in words is "one trillion, one hundred thirty billion, nine hundred sixty million, nine hundred ninety-one thousand, eight hundred eighty-eight".