982801064960 has 1408 divisors, whose sum is σ = 3137652080640. Its totient is φ = 289839513600.

The previous prime is 982801064953. The next prime is 982801064977. The reversal of 982801064960 is 69460108289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18543416294 + ... + 18543416346.

It is an arithmetic number, because the mean of its divisors is an integer number (2228446080).

Almost surely, 2^982801064960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982801064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568826040320).

982801064960 is an abundant number, since it is smaller than the sum of its proper divisors (2154851015680).

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

982801064960 is a wasteful number, since it uses less digits than its factorization.

982801064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 982801064960 in words is "nine hundred eighty-two billion, eight hundred one million, sixty-four thousand, nine hundred sixty".