1162565291328 has 1008 divisors, whose sum is σ = 3987303744960. Its totient is φ = 297085501440.

The previous prime is 1162565291311. The next prime is 1162565291359. The reversal of 1162565291328 is 8231925652611.

It is a happy number.

Its product of digits (1555200) is a multiple of the sum of its prime factors (256).

It is a congruent number.

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, 15925551900 + ... + 15925551972.

Almost surely, 2^{1162565291328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1162565291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993651872480).

1162565291328 is an abundant number, since it is smaller than the sum of its proper divisors (2824738453632).

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

1162565291328 is a wasteful number, since it uses less digits than its factorization.

1162565291328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 198 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The spelling of 1162565291328 in words is "one trillion, one hundred sixty-two billion, five hundred sixty-five million, two hundred ninety-one thousand, three hundred twenty-eight".