98341205760 has 1296 divisors, whose sum is σ = 425553343488. Its totient is φ = 21290065920.

The previous prime is 98341205749. The next prime is 98341205761. The reversal of 98341205760 is 6750214389.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98341205761) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2092366057 + ... + 2092366103.

It is a 1-persistent number, because it is pandigital, but 2⋅98341205760 = 196682411520 is not.

Almost surely, 2^98341205760 is an apocalyptic number.

98341205760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98341205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212776671744).

98341205760 is an abundant number, since it is smaller than the sum of its proper divisors (327212137728).

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

98341205760 is an equidigital number, since it uses as much as digits as its factorization.

98341205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 98341205760 in words is "ninety-eight billion, three hundred forty-one million, two hundred five thousand, seven hundred sixty".