1165641075360 has 960 divisors, whose sum is σ = 4530597714720. Its totient is φ = 280921374720.

The previous prime is 1165641075349. The next prime is 1165641075367. The reversal of 1165641075360 is 635701465611.

1165641075360 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 6 + 4 + 107 + 536 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 453149770896 + 712491304464 = 673164^2 + 844092^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1165641075367) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1539816102 + ... + 1539816858.

Almost surely, 2^{1165641075360} is an apocalyptic number.

1165641075360 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 1165641075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265298857360).

1165641075360 is an abundant number, since it is smaller than the sum of its proper divisors (3364956639360).

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

1165641075360 is a wasteful number, since it uses less digits than its factorization.

1165641075360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1165641075360 in words is "one trillion, one hundred sixty-five billion, six hundred forty-one million, seventy-five thousand, three hundred sixty".