1165816748160 has 320 divisors, whose sum is σ = 4166153671680. Its totient is φ = 310674548736.

The previous prime is 1165816748143. The next prime is 1165816748171. The reversal of 1165816748160 is 618476185611.

1165816748160 is a `hidden beast` number, since 1 + 1 + 6 + 581 + 6 + 7 + 48 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1165816748097 and 1165816748106.

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 39 ways as a sum of consecutive naturals, for example, 86203159 + ... + 86216681.

It is an arithmetic number, because the mean of its divisors is an integer number (13019230224).

Almost surely, 2^{1165816748160} is an apocalyptic number.

1165816748160 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 1165816748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083076835840).

1165816748160 is an abundant number, since it is smaller than the sum of its proper divisors (3000336923520).

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

1165816748160 is a wasteful number, since it uses less digits than its factorization.

1165816748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15217 (or 15196 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1165816748160 in words is "one trillion, one hundred sixty-five billion, eight hundred sixteen million, seven hundred forty-eight thousand, one hundred sixty".