1170903172320 has 960 divisors, whose sum is σ = 4825893219840. Its totient is φ = 261829988352.

The previous prime is 1170903172301. The next prime is 1170903172321. The reversal of 1170903172320 is 232713090711.

It is a happy number.

1170903172320 is a `hidden beast` number, since 1 + 17 + 0 + 9 + 0 + 317 + 2 + 320 = 666.

It is a super-3 number, since 3×1170903172320³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1170903172321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1514751454 + ... + 1514752226.

It is an arithmetic number, because the mean of its divisors is an integer number (5026972104).

Almost surely, 2^{1170903172320} is an apocalyptic number.

1170903172320 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 1170903172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412946609920).

1170903172320 is an abundant number, since it is smaller than the sum of its proper divisors (3654990047520).

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

1170903172320 is a wasteful number, since it uses less digits than its factorization.

1170903172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 1170903172320 in words is "one trillion, one hundred seventy billion, nine hundred three million, one hundred seventy-two thousand, three hundred twenty".