1165352140800 has 1536 divisors, whose sum is σ = 4680771840000. Its totient is φ = 283257077760.

The previous prime is 1165352140783. The next prime is 1165352140801. The reversal of 1165352140800 is 80412535611.

1165352140800 is a `hidden beast` number, since 1 + 1 + 6 + 53 + 521 + 4 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1165352140800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1165352140801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19751731171 + ... + 19751731229.

It is an arithmetic number, because the mean of its divisors is an integer number (3047377500).

Almost surely, 2^{1165352140800} is an apocalyptic number.

1165352140800 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 1165352140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340385920000).

1165352140800 is an abundant number, since it is smaller than the sum of its proper divisors (3515419699200).

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

1165352140800 is an equidigital number, since it uses as much as digits as its factorization.

1165352140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1165352140800 in words is "one trillion, one hundred sixty-five billion, three hundred fifty-two million, one hundred forty thousand, eight hundred".