987904120320 has 960 divisors, whose sum is σ = 3827328785280. Its totient is φ = 233910042624.

The previous prime is 987904120303. The next prime is 987904120321. The reversal of 987904120320 is 23021409789.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987904120321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1074976821 + ... + 1074977739.

It is an arithmetic number, because the mean of its divisors is an integer number (3986800818).

Almost surely, 2^987904120320 is an apocalyptic number.

987904120320 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 987904120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913664392640).

987904120320 is an abundant number, since it is smaller than the sum of its proper divisors (2839424664960).

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

987904120320 is a wasteful number, since it uses less digits than its factorization.

987904120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 987904120320 in words is "nine hundred eighty-seven billion, nine hundred four million, one hundred twenty thousand, three hundred twenty".