97289357727744 has 960 divisors, whose sum is σ = 358004413166400. Its totient is φ = 25633788788736.

The previous prime is 97289357727719. The next prime is 97289357727817. The reversal of 97289357727744 is 44772775398279.

97289357727744 is a `hidden beast` number, since 97 + 2 + 8 + 9 + 357 + 72 + 77 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19579260492 + ... + 19579265460.

It is an arithmetic number, because the mean of its divisors is an integer number (372921263715).

Almost surely, 2^{97289357727744} 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 97289357727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179002206583200).

97289357727744 is an abundant number, since it is smaller than the sum of its proper divisors (260715055438656).

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

97289357727744 is a wasteful number, since it uses less digits than its factorization.

97289357727744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6291 counting only the distinct ones).

The product of its digits is 10455298560, while the sum is 81.

The spelling of 97289357727744 in words is "ninety-seven trillion, two hundred eighty-nine billion, three hundred fifty-seven million, seven hundred twenty-seven thousand, seven hundred forty-four".