98436640795200 has 504 divisors, whose sum is σ = 350517605357088. Its totient is φ = 26201012060160.

The previous prime is 98436640795189. The next prime is 98436640795201. The reversal of 98436640795200 is 259704663489.

98436640795200 is a `hidden beast` number, since 9 + 8 + 4 + 3 + 66 + 40 + 7 + 9 + 520 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (98436640795201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 30732636799 + ... + 30732640001.

Almost surely, 2^{98436640795200} is an apocalyptic number.

98436640795200 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 98436640795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175258802678544).

98436640795200 is an abundant number, since it is smaller than the sum of its proper divisors (252080964561888).

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

98436640795200 is a wasteful number, since it uses less digits than its factorization.

98436640795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531 (or 6513 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 98436640795200 in words is "ninety-eight trillion, four hundred thirty-six billion, six hundred forty million, seven hundred ninety-five thousand, two hundred".