1165338624000 has 240 divisors, whose sum is σ = 3878149032576. Its totient is φ = 310755328000.

The previous prime is 1165338623993. The next prime is 1165338624041. The reversal of 1165338624000 is 4268335611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1165338624000³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1165338624000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6049165 + ... + 6238835.

Almost surely, 2^{1165338624000} is an apocalyptic number.

1165338624000 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 1165338624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939074516288).

1165338624000 is an abundant number, since it is smaller than the sum of its proper divisors (2712810408576).

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

1165338624000 is an frugal number, since it uses more digits than its factorization.

1165338624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189717 (or 189681 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 1165338624000 in words is "one trillion, one hundred sixty-five billion, three hundred thirty-eight million, six hundred twenty-four thousand".