97939834128 has 640 divisors, whose sum is σ = 319903334400. Its totient is φ = 28553472000.

The previous prime is 97939834103. The next prime is 97939834129. The reversal of 97939834128 is 82143893979.

97939834128 is a `hidden beast` number, since 97 + 9 + 398 + 34 + 128 = 666.

It is a super-2 number, since 2×97939834128² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97939834129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 950872125 + ... + 950872227.

It is an arithmetic number, because the mean of its divisors is an integer number (499848960).

Almost surely, 2^97939834128 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 97939834128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159951667200).

97939834128 is an abundant number, since it is smaller than the sum of its proper divisors (221963500272).

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

97939834128 is a wasteful number, since it uses less digits than its factorization.

97939834128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 97939834128 in words is "ninety-seven billion, nine hundred thirty-nine million, eight hundred thirty-four thousand, one hundred twenty-eight".