97245896272000 has 768 divisors, whose sum is σ = 291642519168000. Its totient is φ = 32115118694400.

The previous prime is 97245896271943. The next prime is 97245896272093. The reversal of 97245896272000 is 27269854279.

It is a self number, because there is not a number n which added to its sum of digits gives 97245896272000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9981099129 + ... + 9981108871.

It is an arithmetic number, because the mean of its divisors is an integer number (379742863500).

Almost surely, 2^{97245896272000} 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 97245896272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145821259584000).

97245896272000 is an abundant number, since it is smaller than the sum of its proper divisors (194396622896000).

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

97245896272000 is a wasteful number, since it uses less digits than its factorization.

97245896272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10254 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 97245896272000 in words is "ninety-seven trillion, two hundred forty-five billion, eight hundred ninety-six million, two hundred seventy-two thousand".