1170873609120 has 288 divisors, whose sum is σ = 4021794975744. Its totient is φ = 310190899200.

The previous prime is 1170873609047. The next prime is 1170873609121. The reversal of 1170873609120 is 219063780711.

1170873609120 is a `hidden beast` number, since 1 + 17 + 0 + 8 + 7 + 3 + 609 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (1170873609121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250559104 + ... + 250563776.

It is an arithmetic number, because the mean of its divisors is an integer number (13964565888).

Almost surely, 2^{1170873609120} is an apocalyptic number.

1170873609120 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 1170873609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010897487872).

1170873609120 is an abundant number, since it is smaller than the sum of its proper divisors (2850921366624).

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

1170873609120 is a wasteful number, since it uses less digits than its factorization.

1170873609120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5796 (or 5785 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1170873609120 in words is "one trillion, one hundred seventy billion, eight hundred seventy-three million, six hundred nine thousand, one hundred twenty".