97352833760 has 768 divisors, whose sum is σ = 314555125248. Its totient is φ = 27603763200.

The previous prime is 97352833751. The next prime is 97352833763. The reversal of 97352833760 is 6733825379.

97352833760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×97352833760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97352833763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 537860870 + ... + 537861050.

It is an arithmetic number, because the mean of its divisors is an integer number (409576986).

Almost surely, 2^97352833760 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 97352833760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157277562624).

97352833760 is an abundant number, since it is smaller than the sum of its proper divisors (217202291488).

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

97352833760 is a wasteful number, since it uses less digits than its factorization.

97352833760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 53.

The spelling of 97352833760 in words is "ninety-seven billion, three hundred fifty-two million, eight hundred thirty-three thousand, seven hundred sixty".