982035200160 has 1344 divisors, whose sum is σ = 4247884166400. Its totient is φ = 209329422336.

The previous prime is 982035200147. The next prime is 982035200161. The reversal of 982035200160 is 61002530289.

982035200160 is a `hidden beast` number, since 98 + 203 + 5 + 200 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (982035200161) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1929341986 + ... + 1929342494.

It is an arithmetic number, because the mean of its divisors is an integer number (3160628100).

Almost surely, 2^982035200160 is an apocalyptic number.

982035200160 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 982035200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123942083200).

982035200160 is an abundant number, since it is smaller than the sum of its proper divisors (3265848966240).

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

982035200160 is a wasteful number, since it uses less digits than its factorization.

982035200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 982035200160 in words is "nine hundred eighty-two billion, thirty-five million, two hundred thousand, one hundred sixty".