98105720832 has 768 divisors, whose sum is σ = 353826086400. Its totient is φ = 26754416640.

The previous prime is 98105720827. The next prime is 98105720837. The reversal of 98105720832 is 23802750189.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98105720827) and next prime (98105720837).

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (98105720837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343913948 + ... + 1343914020.

It is an arithmetic number, because the mean of its divisors is an integer number (460711050).

Almost surely, 2^98105720832 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 98105720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176913043200).

98105720832 is an abundant number, since it is smaller than the sum of its proper divisors (255720365568).

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

98105720832 is an equidigital number, since it uses as much as digits as its factorization.

98105720832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 98105720832 in words is "ninety-eight billion, one hundred five million, seven hundred twenty thousand, eight hundred thirty-two".