98880300288 has 756 divisors, whose sum is σ = 375917256288. Its totient is φ = 25657067520.

The previous prime is 98880300263. The next prime is 98880300361. The reversal of 98880300288 is 88200308889.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 100589845 + ... + 100590827.

It is an arithmetic number, because the mean of its divisors is an integer number (497245048).

Almost surely, 2^98880300288 is an apocalyptic number.

98880300288 is a gapful number since it is divisible by the number (98) 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 98880300288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187958628144).

98880300288 is an abundant number, since it is smaller than the sum of its proper divisors (277036956000).

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

98880300288 is an equidigital number, since it uses as much as digits as its factorization.

98880300288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 98880300288 in words is "ninety-eight billion, eight hundred eighty million, three hundred thousand, two hundred eighty-eight".