98880084072 has 256 divisors, whose sum is σ = 349730611200. Its totient is φ = 25136490240.

The previous prime is 98880084041. The next prime is 98880084091. The reversal of 98880084072 is 27048008889.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 718458 + ... + 844950.

It is an arithmetic number, because the mean of its divisors is an integer number (1366135200).

Almost surely, 2^98880084072 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 98880084072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174865305600).

98880084072 is an abundant number, since it is smaller than the sum of its proper divisors (250850527128).

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

98880084072 is a wasteful number, since it uses less digits than its factorization.

98880084072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126573 (or 126563 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 98880084072 in words is "ninety-eight billion, eight hundred eighty million, eighty-four thousand, seventy-two".