97500000000000 has 672 divisors, whose sum is σ = 349914550723920. Its totient is φ = 24000000000000.

The previous prime is 97499999999989. The next prime is 97500000000001. The reversal of 97500000000000 is 579.

It is a nialpdrome in base 10.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 65000 × 25000 × 60000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97500000000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7499999999994 + ... + 7500000000006.

Almost surely, 2^{97500000000000} 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 97500000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174957275361960).

97500000000000 is an abundant number, since it is smaller than the sum of its proper divisors (252414550723920).

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

97500000000000 is an frugal number, since it uses more digits than its factorization.

97500000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

Adding to 97500000000000 its reverse (579), we get a palindrome (97500000000579).

The spelling of 97500000000000 in words is "ninety-seven trillion, five hundred billion", and thus it is an aban number.