1130108063760 has 480 divisors, whose sum is σ = 4140235008000. Its totient is φ = 274596065280.

The previous prime is 1130108063723. The next prime is 1130108063789. The reversal of 1130108063760 is 673608010311.

1130108063760 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 10 + 8 + 0 + 637 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235485841 + ... + 235490639.

It is an arithmetic number, because the mean of its divisors is an integer number (8625489600).

Almost surely, 2^{1130108063760} is an apocalyptic number.

1130108063760 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 1130108063760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070117504000).

1130108063760 is an abundant number, since it is smaller than the sum of its proper divisors (3010126944240).

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

1130108063760 is a wasteful number, since it uses less digits than its factorization.

1130108063760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1130108063760 in words is "one trillion, one hundred thirty billion, one hundred eight million, sixty-three thousand, seven hundred sixty".