981659560320 has 384 divisors, whose sum is σ = 3416851226880. Its totient is φ = 259693056000.

The previous prime is 981659560319. The next prime is 981659560333. The reversal of 981659560320 is 23065956189.

It is a happy number.

981659560320 is a `hidden beast` number, since 9 + 8 + 1 + 6 + 5 + 9 + 5 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934023795 + ... + 934024845.

It is an arithmetic number, because the mean of its divisors is an integer number (8898050070).

Almost surely, 2^981659560320 is an apocalyptic number.

981659560320 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 981659560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708425613440).

981659560320 is an abundant number, since it is smaller than the sum of its proper divisors (2435191666560).

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

981659560320 is a wasteful number, since it uses less digits than its factorization.

981659560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 981659560320 in words is "nine hundred eighty-one billion, six hundred fifty-nine million, five hundred sixty thousand, three hundred twenty".