98653420320 has 768 divisors, whose sum is σ = 416586240000. Its totient is φ = 19034652672.

The previous prime is 98653420319. The next prime is 98653420331. The reversal of 98653420320 is 2302435689.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 24065631 + ... + 24069729.

It is an arithmetic number, because the mean of its divisors is an integer number (542430000).

Almost surely, 2^98653420320 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 98653420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208293120000).

98653420320 is an abundant number, since it is smaller than the sum of its proper divisors (317932819680).

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

98653420320 is a wasteful number, since it uses less digits than its factorization.

98653420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 98653420320 in words is "ninety-eight billion, six hundred fifty-three million, four hundred twenty thousand, three hundred twenty".