1170561036800 has 240 divisors, whose sum is σ = 2943174437280. Its totient is φ = 461317570560.

The previous prime is 1170561036751. The next prime is 1170561036851. The reversal of 1170561036800 is 86301650711.

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 23 ways as a sum of consecutive naturals, for example, 349732727 + ... + 349736073.

It is an arithmetic number, because the mean of its divisors is an integer number (12263226822).

Almost surely, 2^{1170561036800} is an apocalyptic number.

1170561036800 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 1170561036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471587218640).

1170561036800 is an abundant number, since it is smaller than the sum of its proper divisors (1772613400480).

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

1170561036800 is an equidigital number, since it uses as much as digits as its factorization.

1170561036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 1170561036800 in words is "one trillion, one hundred seventy billion, five hundred sixty-one million, thirty-six thousand, eight hundred".