98564509120 has 672 divisors, whose sum is σ = 312735919104. Its totient is φ = 28904325120.

The previous prime is 98564509081. The next prime is 98564509139. The reversal of 98564509120 is 2190546589.

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 95 ways as a sum of consecutive naturals, for example, 604690159 + ... + 604690321.

It is an arithmetic number, because the mean of its divisors is an integer number (465380832).

Almost surely, 2^98564509120 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 98564509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156367959552).

98564509120 is an abundant number, since it is smaller than the sum of its proper divisors (214171409984).

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

98564509120 is a wasteful number, since it uses less digits than its factorization.

98564509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 98564509120 in words is "ninety-eight billion, five hundred sixty-four million, five hundred nine thousand, one hundred twenty".