97459843891200 has 2112 divisors, whose sum is σ = 402627318202368. Its totient is φ = 20293720473600.

The previous prime is 97459843891199. The next prime is 97459843891231. The reversal of 97459843891200 is 219834895479.

It is a super-3 number, since 3×97459843891200³ (a number of 43 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 767400345537 + ... + 767400345663.

Almost surely, 2^{97459843891200} 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 97459843891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201313659101184).

97459843891200 is an abundant number, since it is smaller than the sum of its proper divisors (305167474311168).

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

97459843891200 is an equidigital number, since it uses as much as digits as its factorization.

97459843891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 97459843891200 in words is "ninety-seven trillion, four hundred fifty-nine billion, eight hundred forty-three million, eight hundred ninety-one thousand, two hundred".