1131589224960 has 640 divisors, whose sum is σ = 3872632135680. Its totient is φ = 281261899776.

The previous prime is 1131589224959. The next prime is 1131589224971. The reversal of 1131589224960 is 694229851311.

It is a tau number, because it is divible by the number of its divisors (640).

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, 1158227992 + ... + 1158228968.

It is an arithmetic number, because the mean of its divisors is an integer number (6050987712).

Almost surely, 2^{1131589224960} is an apocalyptic number.

1131589224960 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 1131589224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936316067840).

1131589224960 is an abundant number, since it is smaller than the sum of its proper divisors (2741042910720).

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

1131589224960 is an equidigital number, since it uses as much as digits as its factorization.

1131589224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 1131589224960 in words is "one trillion, one hundred thirty-one billion, five hundred eighty-nine million, two hundred twenty-four thousand, nine hundred sixty".