97316419200 has 2304 divisors, whose sum is σ = 466620134400. Its totient is φ = 17252352000.

The previous prime is 97316419163. The next prime is 97316419231. The reversal of 97316419200 is 291461379.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2373571180 + ... + 2373571220.

It is an arithmetic number, because the mean of its divisors is an integer number (202526100).

Almost surely, 2^97316419200 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 97316419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233310067200).

97316419200 is an abundant number, since it is smaller than the sum of its proper divisors (369303715200).

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

97316419200 is a wasteful number, since it uses less digits than its factorization.

97316419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 97316419200 in words is "ninety-seven billion, three hundred sixteen million, four hundred nineteen thousand, two hundred".