97841932800 has 120 divisors (see below), whose sum is σ = 323214836736. Its totient is φ = 26091171840.

The previous prime is 97841932739. The next prime is 97841932819. The reversal of 97841932800 is 823914879.

97841932800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1235584 + ... + 1312383.

Almost surely, 2^97841932800 is an apocalyptic number.

It is an amenable number.

97841932800 is an abundant number, since it is smaller than the sum of its proper divisors (225372903936).

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

97841932800 is a wasteful number, since it uses less digits than its factorization.

97841932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547998 (or 2547977 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 97841932800 in words is "ninety-seven billion, eight hundred forty-one million, nine hundred thirty-two thousand, eight hundred".