97768437043200 has 2496 divisors, whose sum is σ = 434173220659200. Its totient is φ = 18794977689600.

The previous prime is 97768437043177. The next prime is 97768437043217. The reversal of 97768437043200 is 234073486779.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19325642271 + ... + 19325647329.

Almost surely, 2^{97768437043200} 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 97768437043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217086610329600).

97768437043200 is an abundant number, since it is smaller than the sum of its proper divisors (336404783616000).

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

97768437043200 is a wasteful number, since it uses less digits than its factorization.

97768437043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 60.

The spelling of 97768437043200 in words is "ninety-seven trillion, seven hundred sixty-eight billion, four hundred thirty-seven million, forty-three thousand, two hundred".