1132564833360 has 640 divisors, whose sum is σ = 4160733696000. Its totient is φ = 282362112000.

The previous prime is 1132564833331. The next prime is 1132564833401. The reversal of 1132564833360 is 633384652311.

It is a happy number.

1132564833360 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 564 + 83 + 3 + 3 + 6 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 1109269650 + ... + 1109270670.

It is an arithmetic number, because the mean of its divisors is an integer number (6501146400).

Almost surely, 2^{1132564833360} is an apocalyptic number.

1132564833360 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 1132564833360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080366848000).

1132564833360 is an abundant number, since it is smaller than the sum of its proper divisors (3028168862640).

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

1132564833360 is a wasteful number, since it uses less digits than its factorization.

1132564833360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1132564833360 in words is "one trillion, one hundred thirty-two billion, five hundred sixty-four million, eight hundred thirty-three thousand, three hundred sixty".