97838357760 has 720 divisors, whose sum is σ = 411349276800. Its totient is φ = 21890580480.

The previous prime is 97838357713. The next prime is 97838357777. The reversal of 97838357760 is 6775383879.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 14822941 + ... + 14829539.

It is an arithmetic number, because the mean of its divisors is an integer number (571318440).

Almost surely, 2^97838357760 is an apocalyptic number.

97838357760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97838357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205674638400).

97838357760 is an abundant number, since it is smaller than the sum of its proper divisors (313510919040).

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

97838357760 is a wasteful number, since it uses less digits than its factorization.

97838357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 97838357760 in words is "ninety-seven billion, eight hundred thirty-eight million, three hundred fifty-seven thousand, seven hundred sixty".