988298960000 has 720 divisors, whose sum is σ = 2841644312430. Its totient is φ = 341975040000.

The previous prime is 988298959993. The next prime is 988298960057. The reversal of 988298960000 is 69892889.

It can be written as a sum of positive squares in 5 ways, for example, as 692321344 + 987606638656 = 26312^2 + 993784^2 .

It is a super-3 number, since 3×988298960000³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5120719904 + ... + 5120720096.

Almost surely, 2^988298960000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988298960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420822156215).

988298960000 is an abundant number, since it is smaller than the sum of its proper divisors (1853345352430).

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

988298960000 is a wasteful number, since it uses less digits than its factorization.

988298960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 59.

The spelling of 988298960000 in words is "nine hundred eighty-eight billion, two hundred ninety-eight million, nine hundred sixty thousand".