1130024794752 has 320 divisors, whose sum is σ = 3851770348800. Its totient is φ = 322157316096.

The previous prime is 1130024794751. The next prime is 1130024794783. The reversal of 1130024794752 is 2574974200311.

1130024794752 is a `hidden beast` number, since 1 + 130 + 0 + 2 + 47 + 9 + 475 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1130024794698 and 1130024794707.

It is not an unprimeable number, because it can be changed into a prime (1130024794751) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 33585874 + ... + 33619502.

It is an arithmetic number, because the mean of its divisors is an integer number (12036782340).

Almost surely, 2^{1130024794752} is an apocalyptic number.

1130024794752 is a gapful number since it is divisible by the number (12) 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 1130024794752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925885174400).

1130024794752 is an abundant number, since it is smaller than the sum of its proper divisors (2721745554048).

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

1130024794752 is an equidigital number, since it uses as much as digits as its factorization.

1130024794752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34125 (or 34104 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1130024794752 in words is "one trillion, one hundred thirty billion, twenty-four million, seven hundred ninety-four thousand, seven hundred fifty-two".