981485225280 has 896 divisors, whose sum is σ = 4250618880000. Its totient is φ = 212519946240.

The previous prime is 981485225267. The next prime is 981485225293. The reversal of 981485225280 is 82522584189.

981485225280 is a `hidden beast` number, since 9 + 8 + 14 + 85 + 22 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (981485225267) and next prime (981485225293).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56298165 + ... + 56315595.

Almost surely, 2^981485225280 is an apocalyptic number.

981485225280 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 981485225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125309440000).

981485225280 is an abundant number, since it is smaller than the sum of its proper divisors (3269133654720).

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

981485225280 is a wasteful number, since it uses less digits than its factorization.

981485225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17497 (or 17467 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 981485225280 in words is "nine hundred eighty-one billion, four hundred eighty-five million, two hundred twenty-five thousand, two hundred eighty".