97864033153200 has 60 divisors (see below), whose sum is σ = 313491119537928. Its totient is φ = 26097075507200.

The previous prime is 97864033153193. The next prime is 97864033153217. The reversal of 97864033153200 is 235133046879.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 40776679281 + ... + 40776681680.

It is a 2-persistent number, because it is pandigital, and so is 2⋅97864033153200 = 195728066306400, but 3⋅97864033153200 = 293592099459600 is not.

Almost surely, 2^{97864033153200} is an apocalyptic number.

It is an amenable number.

97864033153200 is an abundant number, since it is smaller than the sum of its proper divisors (215627086384728).

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

97864033153200 is a wasteful number, since it uses less digits than its factorization.

97864033153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81553360982 (or 81553360971 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 97864033153200 in words is "ninety-seven trillion, eight hundred sixty-four billion, thirty-three million, one hundred fifty-three thousand, two hundred".