98785893361200 has 960 divisors, whose sum is σ = 350216886684672. Its totient is φ = 23697617715200.

The previous prime is 98785893361139. The next prime is 98785893361271. The reversal of 98785893361200 is 216339858789.

It is a happy 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 191 ways as a sum of consecutive naturals, for example, 43575602467 + ... + 43575604733.

Almost surely, 2^{98785893361200} 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 98785893361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175108443342336).

98785893361200 is an abundant number, since it is smaller than the sum of its proper divisors (251430993323472).

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

98785893361200 is a wasteful number, since it uses less digits than its factorization.

98785893361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 98785893361200 in words is "ninety-eight trillion, seven hundred eighty-five billion, eight hundred ninety-three million, three hundred sixty-one thousand, two hundred".