97263968327400 has 768 divisors, whose sum is σ = 367586415820800. Its totient is φ = 20806087680000.

The previous prime is 97263968327329. The next prime is 97263968327503. The reversal of 97263968327400 is 472386936279.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 565372596 + ... + 565544604.

It is an arithmetic number, because the mean of its divisors is an integer number (478628145600).

Almost surely, 2^{97263968327400} 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 97263968327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183793207910400).

97263968327400 is an abundant number, since it is smaller than the sum of its proper divisors (270322447493400).

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

97263968327400 is a wasteful number, since it uses less digits than its factorization.

97263968327400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172210 (or 172201 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 66.

The spelling of 97263968327400 in words is "ninety-seven trillion, two hundred sixty-three billion, nine hundred sixty-eight million, three hundred twenty-seven thousand, four hundred".