8988061864320 has 1280 divisors, whose sum is σ = 40231207526400. Its totient is φ = 1857713356800.

The previous prime is 8988061864277. The next prime is 8988061864337. The reversal of 8988061864320 is 234681608898.

8988061864320 is a `hidden beast` number, since 8 + 9 + 8 + 8 + 0 + 618 + 6 + 4 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 762404986 + ... + 762416774.

It is an arithmetic number, because the mean of its divisors is an integer number (31430630880).

Almost surely, 2^{8988061864320} is an apocalyptic number.

8988061864320 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 8988061864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20115603763200).

8988061864320 is an abundant number, since it is smaller than the sum of its proper divisors (31243145662080).

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

8988061864320 is a wasteful number, since it uses less digits than its factorization.

8988061864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12029 (or 12008 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 8988061864320 in words is "eight trillion, nine hundred eighty-eight billion, sixty-one million, eight hundred sixty-four thousand, three hundred twenty".