97158168576000 has 2816 divisors, whose sum is σ = 429646951019520. Its totient is φ = 21199690137600.

The previous prime is 97158168575939. The next prime is 97158168576031. The reversal of 97158168576000 is 67586185179.

97158168576000 is a `hidden beast` number, since 9 + 7 + 1 + 5 + 8 + 16 + 8 + 5 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1833172991974 + ... + 1833172992026.

Almost surely, 2^{97158168576000} is an apocalyptic number.

97158168576000 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 97158168576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214823475509760).

97158168576000 is an abundant number, since it is smaller than the sum of its proper divisors (332488782443520).

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

97158168576000 is an frugal number, since it uses more digits than its factorization.

97158168576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 97158168576000 in words is "ninety-seven trillion, one hundred fifty-eight billion, one hundred sixty-eight million, five hundred seventy-six thousand".