982118667329280 has 1080 divisors, whose sum is σ = 3843000702192960. Its totient is φ = 239358269030400.

The previous prime is 982118667329257. The next prime is 982118667329357. The reversal of 982118667329280 is 82923766811289.

982118667329280 is a `hidden beast` number, since 9 + 8 + 2 + 1 + 18 + 6 + 6 + 7 + 329 + 280 = 666.

982118667329280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 982118667329199 and 982118667329208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1769436441 + ... + 1769991399.

It is an arithmetic number, because the mean of its divisors is an integer number (3558333983512).

Almost surely, 2^{982118667329280} is an apocalyptic number.

982118667329280 is a gapful number since it is divisible by the number (90) 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 982118667329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921500351096480).

982118667329280 is an abundant number, since it is smaller than the sum of its proper divisors (2860882034863680).

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

982118667329280 is a wasteful number, since it uses less digits than its factorization.

982118667329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555119 (or 555083 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 982118667329280 in words is "nine hundred eighty-two trillion, one hundred eighteen billion, six hundred sixty-seven million, three hundred twenty-nine thousand, two hundred eighty".