97609822652100 has 288 divisors, whose sum is σ = 321506096292864. Its totient is φ = 22632845734400.

The previous prime is 97609822652009. The next prime is 97609822652149. The reversal of 97609822652100 is 125622890679.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2035082719 + ... + 2035130681.

It is an arithmetic number, because the mean of its divisors is an integer number (1116340612128).

Almost surely, 2^{97609822652100} 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 97609822652100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160753048146432).

97609822652100 is an abundant number, since it is smaller than the sum of its proper divisors (223896273640764).

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

97609822652100 is a wasteful number, since it uses less digits than its factorization.

97609822652100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74827 (or 74820 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 97609822652100 in words is "ninety-seven trillion, six hundred nine billion, eight hundred twenty-two million, six hundred fifty-two thousand, one hundred".