988884288000 has 2400 divisors, whose sum is σ = 4556808725040. Its totient is φ = 211805798400.

The previous prime is 988884287939. The next prime is 988884288001. The reversal of 988884288000 is 882488889.

It can be written as a sum of positive squares in 8 ways, for example, as 304015493376 + 684868794624 = 551376^2 + 827568^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (988884288001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4318271886 + ... + 4318272114.

Almost surely, 2^988884288000 is an apocalyptic number.

988884288000 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 988884288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278404362520).

988884288000 is an abundant number, since it is smaller than the sum of its proper divisors (3567924437040).

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

988884288000 is a wasteful number, since it uses less digits than its factorization.

988884288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 63.

The spelling of 988884288000 in words is "nine hundred eighty-eight billion, eight hundred eighty-four million, two hundred eighty-eight thousand".