981109081680 has 480 divisors, whose sum is σ = 3815193312000. Its totient is φ = 206729478144.

The previous prime is 981109081637. The next prime is 981109081717. The reversal of 981109081680 is 86180901189.

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 95 ways as a sum of consecutive naturals, for example, 128262496 + ... + 128270144.

It is an arithmetic number, because the mean of its divisors is an integer number (7948319400).

Almost surely, 2^981109081680 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 981109081680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907596656000).

981109081680 is an abundant number, since it is smaller than the sum of its proper divisors (2834084230320).

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

981109081680 is a wasteful number, since it uses less digits than its factorization.

981109081680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8531 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 51.

The spelling of 981109081680 in words is "nine hundred eighty-one billion, one hundred nine million, eighty-one thousand, six hundred eighty".