1165850008800 has 288 divisors, whose sum is σ = 3975739536384. Its totient is φ = 296372736000.

The previous prime is 1165850008793. The next prime is 1165850008861. The reversal of 1165850008800 is 88000585611.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 4867860 + ... + 5101740.

It is an arithmetic number, because the mean of its divisors is an integer number (13804651168).

Almost surely, 2^{1165850008800} is an apocalyptic number.

1165850008800 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 1165850008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987869768192).

1165850008800 is an abundant number, since it is smaller than the sum of its proper divisors (2809889527584).

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

1165850008800 is a wasteful number, since it uses less digits than its factorization.

1165850008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234002 (or 233989 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The spelling of 1165850008800 in words is "one trillion, one hundred sixty-five billion, eight hundred fifty million, eight thousand, eight hundred".