983165427360 has 72 divisors (see below), whose sum is σ = 3355052025780. Its totient is φ = 262177446912.

The previous prime is 983165427347. The next prime is 983165427389. The reversal of 983165427360 is 63724561389.

983165427360 is a `hidden beast` number, since 9 + 8 + 31 + 6 + 542 + 7 + 3 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 895589678736 + 87575748624 = 946356^2 + 295932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×983165427360² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 983165427297 and 983165427306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341375445 + ... + 341378324.

It is a 2-persistent number, because it is pandigital, and so is 2⋅983165427360 = 1966330854720, but 3⋅983165427360 = 2949496282080 is not.

Almost surely, 2^983165427360 is an apocalyptic number.

983165427360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

983165427360 is an abundant number, since it is smaller than the sum of its proper divisors (2371886598420).

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

983165427360 is a wasteful number, since it uses less digits than its factorization.

983165427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682753790 (or 682753779 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 983165427360 in words is "nine hundred eighty-three billion, one hundred sixty-five million, four hundred twenty-seven thousand, three hundred sixty".