1130874783360 has 1024 divisors, whose sum is σ = 4644698112000. Its totient is φ = 227808903168.

The previous prime is 1130874783347. The next prime is 1130874783373. The reversal of 1130874783360 is 633874780311.

It is an interprime number because it is at equal distance from previous prime (1130874783347) and next prime (1130874783373).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 127 ways as a sum of consecutive naturals, for example, 386358217 + ... + 386361143.

It is an arithmetic number, because the mean of its divisors is an integer number (4535838000).

Almost surely, 2^{1130874783360} is an apocalyptic number.

1130874783360 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 1130874783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322349056000).

1130874783360 is an abundant number, since it is smaller than the sum of its proper divisors (3513823328640).

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

1130874783360 is a wasteful number, since it uses less digits than its factorization.

1130874783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 1130874783360 in words is "one trillion, one hundred thirty billion, eight hundred seventy-four million, seven hundred eighty-three thousand, three hundred sixty".