1172275320320 has 320 divisors, whose sum is σ = 3073980127680. Its totient is φ = 426149019648.

The previous prime is 1172275320289. The next prime is 1172275320323. The reversal of 1172275320320 is 230235722711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1172275320323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096608746 + ... + 1096609814.

It is an arithmetic number, because the mean of its divisors is an integer number (9606187899).

Almost surely, 2^{1172275320320} is an apocalyptic number.

1172275320320 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 1172275320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536990063840).

1172275320320 is an abundant number, since it is smaller than the sum of its proper divisors (1901704807360).

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

1172275320320 is a wasteful number, since it uses less digits than its factorization.

1172275320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 1172275320320 in words is "one trillion, one hundred seventy-two billion, two hundred seventy-five million, three hundred twenty thousand, three hundred twenty".