97092766612296 has 480 divisors, whose sum is σ = 360724445013240. Its totient is φ = 24100594495488.

The previous prime is 97092766612253. The next prime is 97092766612333. The reversal of 97092766612296 is 69221666729079.

97092766612296 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77705741187396 + 19387025424900 = 8815086^2 + 4403070^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 98986 + ... + 13935398.

Almost surely, 2^{97092766612296} 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 97092766612296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180362222506620).

97092766612296 is an abundant number, since it is smaller than the sum of its proper divisors (263631678400944).

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

97092766612296 is a wasteful number, since it uses less digits than its factorization.

97092766612296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13836475 (or 13836455 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 97092766612296 in words is "ninety-seven trillion, ninety-two billion, seven hundred sixty-six million, six hundred twelve thousand, two hundred ninety-six".