989954349600 has 288 divisors, whose sum is σ = 3416569450560. Its totient is φ = 248115363840.

The previous prime is 989954349589. The next prime is 989954349647. The reversal of 989954349600 is 6943459989.

It is a happy number.

It is a super-2 number, since 2×989954349600² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 30134784 + ... + 30167616.

It is an arithmetic number, because the mean of its divisors is an integer number (11863088370).

Almost surely, 2^989954349600 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 989954349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708284725280).

989954349600 is an abundant number, since it is smaller than the sum of its proper divisors (2426615100960).

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

989954349600 is a wasteful number, since it uses less digits than its factorization.

989954349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33612 (or 33599 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 989954349600 in words is "nine hundred eighty-nine billion, nine hundred fifty-four million, three hundred forty-nine thousand, six hundred".