988004976000 has 512 divisors, whose sum is σ = 3750140160000. Its totient is φ = 225406771200.

The previous prime is 988004975989. The next prime is 988004976011. The reversal of 988004976000 is 679400889.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (988004975989) and next prime (988004976011).

It is a super-3 number, since 3×988004976000³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201261546 + ... + 201266454.

It is an arithmetic number, because the mean of its divisors is an integer number (7324492500).

Almost surely, 2^988004976000 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 988004976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875070080000).

988004976000 is an abundant number, since it is smaller than the sum of its proper divisors (2762135184000).

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

988004976000 is a wasteful number, since it uses less digits than its factorization.

988004976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5547 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 988004976000 in words is "nine hundred eighty-eight billion, four million, nine hundred seventy-six thousand".