987954883238400 has 7680 divisors, whose sum is σ = 4621092116889600. Its totient is φ = 181347876864000.

The previous prime is 987954883238369. The next prime is 987954883238429. The reversal of 987954883238400 is 4832388459789.

It is a tau number, because it is divible by the number of its divisors (7680).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 11100616665556 + ... + 11100616665644.

It is an arithmetic number, because the mean of its divisors is an integer number (601704702720).

Almost surely, 2^{987954883238400} 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 987954883238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310546058444800).

987954883238400 is an abundant number, since it is smaller than the sum of its proper divisors (3633137233651200).

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

987954883238400 is a wasteful number, since it uses less digits than its factorization.

987954883238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 78.

The spelling of 987954883238400 in words is "nine hundred eighty-seven trillion, nine hundred fifty-four billion, eight hundred eighty-three million, two hundred thirty-eight thousand, four hundred".