97164267200 has 1344 divisors, whose sum is σ = 352190791680. Its totient is φ = 25380864000.

The previous prime is 97164267197. The next prime is 97164267209. The reversal of 97164267200 is 276246179.

97164267200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (97164267209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 943342349 + ... + 943342451.

It is an arithmetic number, because the mean of its divisors is an integer number (262046720).

Almost surely, 2^97164267200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97164267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176095395840).

97164267200 is an abundant number, since it is smaller than the sum of its proper divisors (255026524480).

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

97164267200 is a wasteful number, since it uses less digits than its factorization.

97164267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 97164267200 in words is "ninety-seven billion, one hundred sixty-four million, two hundred sixty-seven thousand, two hundred".