97216228800 has 378 divisors, whose sum is σ = 353814662448. Its totient is φ = 25305799680.

The previous prime is 97216228793. The next prime is 97216228829. The reversal of 97216228800 is 882261279.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 53 ways as a sum of consecutive naturals, for example, 256507011 + ... + 256507389.

Almost surely, 2^97216228800 is an apocalyptic number.

97216228800 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 97216228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176907331224).

97216228800 is an abundant number, since it is smaller than the sum of its proper divisors (256598433648).

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

97216228800 is a wasteful number, since it uses less digits than its factorization.

97216228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 97216228800 in words is "ninety-seven billion, two hundred sixteen million, two hundred twenty-eight thousand, eight hundred".