9987359796400 has 240 divisors, whose sum is σ = 28995199744000. Its totient is φ = 3229463623680.

The previous prime is 9987359796371. The next prime is 9987359796413. The reversal of 9987359796400 is 46979537899.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11442676 + ... + 12284524.

Almost surely, 2^{9987359796400} 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 9987359796400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14497599872000).

9987359796400 is an abundant number, since it is smaller than the sum of its proper divisors (19007839947600).

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

9987359796400 is a wasteful number, since it uses less digits than its factorization.

9987359796400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842116 (or 842105 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 76.

The spelling of 9987359796400 in words is "nine trillion, nine hundred eighty-seven billion, three hundred fifty-nine million, seven hundred ninety-six thousand, four hundred".