98392440268800 has 1728 divisors, whose sum is σ = 391664753101440. Its totient is φ = 24416271728640.

The previous prime is 98392440268753. The next prime is 98392440268807. The reversal of 98392440268800 is 886204429389.

98392440268800 is a `hidden beast` number, since 9 + 8 + 3 + 92 + 4 + 402 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (98392440268807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10587796954 + ... + 10587806246.

It is an arithmetic number, because the mean of its divisors is an integer number (226657843230).

Almost surely, 2^{98392440268800} is an apocalyptic number.

98392440268800 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 98392440268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195832376550720).

98392440268800 is an abundant number, since it is smaller than the sum of its proper divisors (293272312832640).

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

98392440268800 is a wasteful number, since it uses less digits than its factorization.

98392440268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400 (or 9363 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 98392440268800 in words is "ninety-eight trillion, three hundred ninety-two billion, four hundred forty million, two hundred sixty-eight thousand, eight hundred".