97450128725760 has 504 divisors, whose sum is σ = 370562003718480. Its totient is φ = 24458067542016.

The previous prime is 97450128725693. The next prime is 97450128725867. The reversal of 97450128725760 is 6752782105479.

97450128725760 is a `hidden beast` number, since 9 + 7 + 4 + 50 + 1 + 2 + 8 + 7 + 2 + 576 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12791431 + ... + 18934649.

It is an arithmetic number, because the mean of its divisors is an integer number (735242070870).

Almost surely, 2^{97450128725760} is an apocalyptic number.

97450128725760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97450128725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185281001859240).

97450128725760 is an abundant number, since it is smaller than the sum of its proper divisors (273111874992720).

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

97450128725760 is an equidigital number, since it uses as much as digits as its factorization.

97450128725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143275 (or 6143246 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 97450128725760 in words is "ninety-seven trillion, four hundred fifty billion, one hundred twenty-eight million, seven hundred twenty-five thousand, seven hundred sixty".