987208664400 has 1080 divisors, whose sum is σ = 4058223721344. Its totient is φ = 221560012800.

The previous prime is 987208664399. The next prime is 987208664467. The reversal of 987208664400 is 4466802789.

987208664400 is a `hidden beast` number, since 9 + 87 + 20 + 86 + 64 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3642836265 + ... + 3642836535.

Almost surely, 2^987208664400 is an apocalyptic number.

987208664400 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 987208664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029111860672).

987208664400 is an abundant number, since it is smaller than the sum of its proper divisors (3071015056944).

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

987208664400 is a wasteful number, since it uses less digits than its factorization.

987208664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 987208664400 in words is "nine hundred eighty-seven billion, two hundred eight million, six hundred sixty-four thousand, four hundred".