97353586900 has 72 divisors (see below), whose sum is σ = 213531567480. Its totient is φ = 38522880000.

The previous prime is 97353586879. The next prime is 97353586909. The reversal of 97353586900 is 968535379.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17792358544 + 79561228356 = 133388^2 + 282066^2 .

It is a super-2 number, since 2×97353586900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97353586909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14227480 + ... + 14234320.

It is an arithmetic number, because the mean of its divisors is an integer number (2965716215).

Almost surely, 2^97353586900 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 97353586900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106765783740).

97353586900 is an abundant number, since it is smaller than the sum of its proper divisors (116177980580).

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

97353586900 is a wasteful number, since it uses less digits than its factorization.

97353586900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8365 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 55.

The spelling of 97353586900 in words is "ninety-seven billion, three hundred fifty-three million, five hundred eighty-six thousand, nine hundred".