8981764485120 has 2496 divisors, whose sum is σ = 39347121116160. Its totient is φ = 1848631099392.

The previous prime is 8981764485041. The next prime is 8981764485131. The reversal of 8981764485120 is 215844671898.

8981764485120 is a `hidden beast` number, since 8 + 9 + 8 + 1 + 76 + 4 + 48 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83941724107 + ... + 83941724213.

It is an arithmetic number, because the mean of its divisors is an integer number (15764070960).

Almost surely, 2^{8981764485120} is an apocalyptic number.

8981764485120 is a gapful number since it is divisible by the number (80) 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 8981764485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19673560558080).

8981764485120 is an abundant number, since it is smaller than the sum of its proper divisors (30365356631040).

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

8981764485120 is a wasteful number, since it uses less digits than its factorization.

8981764485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 8981764485120 in words is "eight trillion, nine hundred eighty-one billion, seven hundred sixty-four million, four hundred eighty-five thousand, one hundred twenty".