1175481609120 has 864 divisors, whose sum is σ = 4978774854144. Its totient is φ = 247283712000.

The previous prime is 1175481609097. The next prime is 1175481609131. The reversal of 1175481609120 is 219061845711.

1175481609120 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 481 + 60 + 91 + 20 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 734216320 + ... + 734217920.

It is an arithmetic number, because the mean of its divisors is an integer number (5762470896).

Almost surely, 2^{1175481609120} is an apocalyptic number.

1175481609120 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 1175481609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489387427072).

1175481609120 is an abundant number, since it is smaller than the sum of its proper divisors (3803293245024).

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

1175481609120 is a wasteful number, since it uses less digits than its factorization.

1175481609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1175481609120 in words is "one trillion, one hundred seventy-five billion, four hundred eighty-one million, six hundred nine thousand, one hundred twenty".