97339629296000 has 1024 divisors, whose sum is σ = 318221771212800. Its totient is φ = 28748854886400.

The previous prime is 97339629295999. The next prime is 97339629296009. The reversal of 97339629296000 is 69292693379.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97339629296009) 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, 1853461742 + ... + 1853514258.

It is an arithmetic number, because the mean of its divisors is an integer number (310763448450).

Almost surely, 2^{97339629296000} 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 97339629296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159110885606400).

97339629296000 is an abundant number, since it is smaller than the sum of its proper divisors (220882141916800).

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

97339629296000 is a wasteful number, since it uses less digits than its factorization.

97339629296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52652 (or 52630 counting only the distinct ones).

The product of its (nonzero) digits is 59521392, while the sum is 65.

The spelling of 97339629296000 in words is "ninety-seven trillion, three hundred thirty-nine billion, six hundred twenty-nine million, two hundred ninety-six thousand".