1130045531520 has 512 divisors, whose sum is σ = 3940992506880. Its totient is φ = 274298830848.

The previous prime is 1130045531443. The next prime is 1130045531569. The reversal of 1130045531520 is 251355400311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 144558652 + ... + 144566468.

It is an arithmetic number, because the mean of its divisors is an integer number (7697250990).

Almost surely, 2^{1130045531520} is an apocalyptic number.

1130045531520 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 1130045531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970496253440).

1130045531520 is an abundant number, since it is smaller than the sum of its proper divisors (2810946975360).

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

1130045531520 is a wasteful number, since it uses less digits than its factorization.

1130045531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 1130045531520 in words is "one trillion, one hundred thirty billion, forty-five million, five hundred thirty-one thousand, five hundred twenty".