989647537735120 has 320 divisors, whose sum is σ = 2599635593744640. Its totient is φ = 347064702566400.

The previous prime is 989647537735067. The next prime is 989647537735141. The reversal of 989647537735120 is 21537735746989.

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 63 ways as a sum of consecutive naturals, for example, 146332620859 + ... + 146332627621.

It is an arithmetic number, because the mean of its divisors is an integer number (8123861230452).

It is a 1-persistent number, because it is pandigital, but 2⋅989647537735120 = 1979295075470240 is not.

Almost surely, 2^{989647537735120} 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 989647537735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299817796872320).

989647537735120 is an abundant number, since it is smaller than the sum of its proper divisors (1609988056009520).

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

989647537735120 is a wasteful number, since it uses less digits than its factorization.

989647537735120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 2400451200, while the sum is 76.

The spelling of 989647537735120 in words is "nine hundred eighty-nine trillion, six hundred forty-seven billion, five hundred thirty-seven million, seven hundred thirty-five thousand, one hundred twenty".