990173517600 has 576 divisors, whose sum is σ = 3480448487040. Its totient is φ = 243992985600.

The previous prime is 990173517589. The next prime is 990173517623. The reversal of 990173517600 is 6715371099.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 990173517600.

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 95 ways as a sum of consecutive naturals, for example, 151237527 + ... + 151244073.

It is an arithmetic number, because the mean of its divisors is an integer number (6042445290).

Almost surely, 2^990173517600 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 990173517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740224243520).

990173517600 is an abundant number, since it is smaller than the sum of its proper divisors (2490274969440).

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

990173517600 is a wasteful number, since it uses less digits than its factorization.

990173517600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 48.

Adding to 990173517600 its reverse (6715371099), we get a palindrome (996888888699).

The spelling of 990173517600 in words is "nine hundred ninety billion, one hundred seventy-three million, five hundred seventeen thousand, six hundred".