981081884160 has 640 divisors, whose sum is σ = 4192381670400. Its totient is φ = 212442808320.

The previous prime is 981081884143. The next prime is 981081884183. The reversal of 981081884160 is 61488180189.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 981081884097 and 981081884106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9139600 + ... + 9246320.

It is an arithmetic number, because the mean of its divisors is an integer number (6550596360).

Almost surely, 2^981081884160 is an apocalyptic number.

981081884160 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 981081884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096190835200).

981081884160 is an abundant number, since it is smaller than the sum of its proper divisors (3211299786240).

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

981081884160 is a wasteful number, since it uses less digits than its factorization.

981081884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106779 (or 106757 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 981081884160 in words is "nine hundred eighty-one billion, eighty-one million, eight hundred eighty-four thousand, one hundred sixty".