1130683597200 has 720 divisors, whose sum is σ = 4171440284544. Its totient is φ = 283021516800.

The previous prime is 1130683597157. The next prime is 1130683597249. The reversal of 1130683597200 is 27953860311.

1130683597200 is a `hidden beast` number, since 1 + 1 + 30 + 6 + 8 + 3 + 597 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1710564870 + ... + 1710565530.

Almost surely, 2^{1130683597200} is an apocalyptic number.

1130683597200 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 1130683597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085720142272).

1130683597200 is an abundant number, since it is smaller than the sum of its proper divisors (3040756687344).

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

1130683597200 is a wasteful number, since it uses less digits than its factorization.

1130683597200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1130683597200 in words is "one trillion, one hundred thirty billion, six hundred eighty-three million, five hundred ninety-seven thousand, two hundred".