98195392800 has 270 divisors, whose sum is σ = 358390641609. Its totient is φ = 26164166400.

The previous prime is 98195392777. The next prime is 98195392853. The reversal of 98195392800 is 829359189.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

98195392800 is a `hidden beast` number, since 9 + 81 + 9 + 539 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96231484944 + 1963907856 = 310212^2 + 44316^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=221580.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 79768185 + ... + 79769415.

Almost surely, 2^98195392800 is an apocalyptic number.

98195392800 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 98195392800

98195392800 is an abundant number, since it is smaller than the sum of its proper divisors (260195248809).

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

98195392800 is an equidigital number, since it uses as much as digits as its factorization.

98195392800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 98195392800 in words is "ninety-eight billion, one hundred ninety-five million, three hundred ninety-two thousand, eight hundred".