98284883606820 has 288 divisors, whose sum is σ = 301773964407552. Its totient is φ = 25890374974464.

The previous prime is 98284883606803. The next prime is 98284883606827. The reversal of 98284883606820 is 2860638848289.

98284883606820 is a `hidden beast` number, since 9 + 8 + 2 + 8 + 4 + 8 + 8 + 3 + 606 + 8 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (98284883606827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14597484174 + ... + 14597490906.

It is an arithmetic number, because the mean of its divisors is an integer number (1047826265304).

Almost surely, 2^{98284883606820} is an apocalyptic number.

98284883606820 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 98284883606820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150886982203776).

98284883606820 is an abundant number, since it is smaller than the sum of its proper divisors (203489080800732).

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

98284883606820 is a wasteful number, since it uses less digits than its factorization.

98284883606820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8691 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 98284883606820 in words is "ninety-eight trillion, two hundred eighty-four billion, eight hundred eighty-three million, six hundred six thousand, eight hundred twenty".