98086266720 has 576 divisors, whose sum is σ = 374628893184. Its totient is φ = 23206625280.

The previous prime is 98086266709. The next prime is 98086266721. The reversal of 98086266720 is 2766268089.

98086266720 is a `hidden beast` number, since 9 + 8 + 0 + 8 + 626 + 6 + 7 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98086266721) 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 95 ways as a sum of consecutive naturals, for example, 100394872 + ... + 100395848.

It is an arithmetic number, because the mean of its divisors is an integer number (650397384).

Almost surely, 2^98086266720 is an apocalyptic number.

98086266720 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 98086266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187314446592).

98086266720 is an abundant number, since it is smaller than the sum of its proper divisors (276542626464).

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

98086266720 is a wasteful number, since it uses less digits than its factorization.

98086266720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 98086266720 in words is "ninety-eight billion, eighty-six million, two hundred sixty-six thousand, seven hundred twenty".