987328806912000 has 6048 divisors, whose sum is σ = 4654507526323200. Its totient is φ = 199766310912000.

The previous prime is 987328806911987. The next prime is 987328806912053. The reversal of 987328806912000 is 219608823789.

987328806912000 is a `hidden beast` number, since 98 + 7 + 3 + 288 + 0 + 69 + 1 + 200 + 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 287 ways as a sum of consecutive naturals, for example, 31849316351985 + ... + 31849316352015.

It is an arithmetic number, because the mean of its divisors is an integer number (769594498400).

Almost surely, 2^{987328806912000} is an apocalyptic number.

987328806912000 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 987328806912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327253763161600).

987328806912000 is an abundant number, since it is smaller than the sum of its proper divisors (3667178719411200).

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

987328806912000 is an equidigital number, since it uses as much as digits as its factorization.

987328806912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 987328806912000 in words is "nine hundred eighty-seven trillion, three hundred twenty-eight billion, eight hundred six million, nine hundred twelve thousand".