98832097280 has 224 divisors, whose sum is σ = 274397687424. Its totient is φ = 33468973056.

The previous prime is 98832097279. The next prime is 98832097291. The reversal of 98832097280 is 8279023889.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23795684 + ... + 23799836.

It is an arithmetic number, because the mean of its divisors is an integer number (1224989676).

Almost surely, 2^98832097280 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 98832097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137198843712).

98832097280 is an abundant number, since it is smaller than the sum of its proper divisors (175565590144).

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

98832097280 is an equidigital number, since it uses as much as digits as its factorization.

98832097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 98832097280 in words is "ninety-eight billion, eight hundred thirty-two million, ninety-seven thousand, two hundred eighty".