1130009805760 has 224 divisors, whose sum is σ = 3064824179712. Its totient is φ = 392823889920.

The previous prime is 1130009805721. The next prime is 1130009805763. The reversal of 1130009805760 is 675089000311.

It is a super-2 number, since 2×1130009805760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130009805763) 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 31 ways as a sum of consecutive naturals, for example, 214298484 + ... + 214303756.

Almost surely, 2^{1130009805760} is an apocalyptic number.

1130009805760 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 1130009805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532412089856).

1130009805760 is an abundant number, since it is smaller than the sum of its proper divisors (1934814373952).

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

1130009805760 is a wasteful number, since it uses less digits than its factorization.

1130009805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7971 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 1130009805760 in words is "one trillion, one hundred thirty billion, nine million, eight hundred five thousand, seven hundred sixty".