97820899200 has 288 divisors, whose sum is σ = 349628727240. Its totient is φ = 26042142720.

The previous prime is 97820899157. The next prime is 97820899223. The reversal of 97820899200 is 299802879.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 19667914 + ... + 19672886.

Almost surely, 2^97820899200 is an apocalyptic number.

97820899200 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 97820899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174814363620).

97820899200 is an abundant number, since it is smaller than the sum of its proper divisors (251807828040).

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

97820899200 is a wasteful number, since it uses less digits than its factorization.

97820899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 97820899200 in words is "ninety-seven billion, eight hundred twenty million, eight hundred ninety-nine thousand, two hundred".