97537351210000 has 675 divisors, whose sum is σ = 261809091376833. Its totient is φ = 35174717760000.

The previous prime is 97537351209979. The next prime is 97537351210001. The reversal of 97537351210000 is 1215373579.

The square root of 97537351210000 is 9876100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 96340585224976 + 1196765985024 = 9815324^2 + 1093968^2 .

It is not an unprimeable number, because it can be changed into a prime (97537351210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 911564029947 + ... + 911564030053.

Almost surely, 2^{97537351210000} is an apocalyptic number.

97537351210000 is the 9876100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97537351210000

97537351210000 is an abundant number, since it is smaller than the sum of its proper divisors (164271740166833).

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

97537351210000 is an equidigital number, since it uses as much as digits as its factorization.

97537351210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 43.

Adding to 97537351210000 its reverse (1215373579), we get a palindrome (97538566583579).

The spelling of 97537351210000 in words is "ninety-seven trillion, five hundred thirty-seven billion, three hundred fifty-one million, two hundred ten thousand".