97548767200 has 72 divisors (see below), whose sum is σ = 238462893648. Its totient is φ = 38966753280.

The previous prime is 97548767161. The next prime is 97548767207. The reversal of 97548767200 is 276784579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97548767207) 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 11 ways as a sum of consecutive naturals, for example, 512344 + ... + 676456.

It is an arithmetic number, because the mean of its divisors is an integer number (3311984634).

Almost surely, 2^97548767200 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 97548767200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119231446824).

97548767200 is an abundant number, since it is smaller than the sum of its proper divisors (140914126448).

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

97548767200 is a wasteful number, since it uses less digits than its factorization.

97548767200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164876 (or 164863 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 97548767200 in words is "ninety-seven billion, five hundred forty-eight million, seven hundred sixty-seven thousand, two hundred".