1130532016320 has 1792 divisors, whose sum is σ = 4957637836800. Its totient is φ = 237027409920.

The previous prime is 1130532016319. The next prime is 1130532016331. The reversal of 1130532016320 is 236102350311.

1130532016320 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 5 + 3 + 20 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2982933891 + ... + 2982934269.

Almost surely, 2^{1130532016320} is an apocalyptic number.

1130532016320 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 1130532016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478818918400).

1130532016320 is an abundant number, since it is smaller than the sum of its proper divisors (3827105820480).

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

1130532016320 is a wasteful number, since it uses less digits than its factorization.

1130532016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1130532016320 its reverse (236102350311), we get a palindrome (1366634366631).

The spelling of 1130532016320 in words is "one trillion, one hundred thirty billion, five hundred thirty-two million, sixteen thousand, three hundred twenty".