97989735251200 has 864 divisors, whose sum is σ = 279976386301920. Its totient is φ = 33634123776000.

The previous prime is 97989735251173. The next prime is 97989735251203. The reversal of 97989735251200 is 215253798979.

It can be written as a sum of positive squares in 48 ways, for example, as 51581813474304 + 46407921776896 = 7182048^2 + 6812336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97989735251203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61205330400 + ... + 61205332000.

It is an arithmetic number, because the mean of its divisors is an integer number (324046743405).

Almost surely, 2^{97989735251200} 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 97989735251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139988193150960).

97989735251200 is an abundant number, since it is smaller than the sum of its proper divisors (181986651050720).

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

97989735251200 is a wasteful number, since it uses less digits than its factorization.

97989735251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 67.

The spelling of 97989735251200 in words is "ninety-seven trillion, nine hundred eighty-nine billion, seven hundred thirty-five million, two hundred fifty-one thousand, two hundred".