1130145730560 has 2496 divisors, whose sum is σ = 5354633625600. Its totient is φ = 220723937280.

The previous prime is 1130145730463. The next prime is 1130145730577. The reversal of 1130145730560 is 650375410311.

1130145730560 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 14 + 57 + 30 + 560 = 666.

It is a super-2 number, since 2×1130145730560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8898785217 + ... + 8898785343.

Almost surely, 2^{1130145730560} is an apocalyptic number.

1130145730560 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 1130145730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677316812800).

1130145730560 is an abundant number, since it is smaller than the sum of its proper divisors (4224487895040).

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

1130145730560 is a wasteful number, since it uses less digits than its factorization.

1130145730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1130145730560 in words is "one trillion, one hundred thirty billion, one hundred forty-five million, seven hundred thirty thousand, five hundred sixty".