97570289224000 has 224 divisors, whose sum is σ = 252216142963200. Its totient is φ = 37319759769600.

The previous prime is 97570289223959. The next prime is 97570289224007. The reversal of 97570289224000 is 42298207579.

It is a super-2 number, since 2×97570289224000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97570289224007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610616116 + ... + 610775884.

Almost surely, 2^{97570289224000} 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 97570289224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126108071481600).

97570289224000 is an abundant number, since it is smaller than the sum of its proper divisors (154645853739200).

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

97570289224000 is a wasteful number, since it uses less digits than its factorization.

97570289224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163138 (or 163118 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 97570289224000 in words is "ninety-seven trillion, five hundred seventy billion, two hundred eighty-nine million, two hundred twenty-four thousand".