97167228533760 has 2816 divisors, whose sum is σ = 404667471200256. Its totient is φ = 19483656192000.

The previous prime is 97167228533729. The next prime is 97167228533779. The reversal of 97167228533760 is 6733582276179.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 97167228533691 and 97167228533700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 741734568895 + ... + 741734569025.

It is an arithmetic number, because the mean of its divisors is an integer number (143702937216).

Almost surely, 2^{97167228533760} 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 97167228533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202333735600128).

97167228533760 is an abundant number, since it is smaller than the sum of its proper divisors (307500242666496).

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

97167228533760 is a wasteful number, since it uses less digits than its factorization.

97167228533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 66.

The spelling of 97167228533760 in words is "ninety-seven trillion, one hundred sixty-seven billion, two hundred twenty-eight million, five hundred thirty-three thousand, seven hundred sixty".