97864166400 has 2112 divisors, whose sum is σ = 463956971520. Its totient is φ = 17517772800.

The previous prime is 97864166377. The next prime is 97864166423. The reversal of 97864166400 is 466146879.

It is an interprime number because it is at equal distance from previous prime (97864166377) and next prime (97864166423).

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 1460659167 + ... + 1460659233.

Almost surely, 2^97864166400 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 97864166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231978485760).

97864166400 is an abundant number, since it is smaller than the sum of its proper divisors (366092805120).

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

97864166400 is a wasteful number, since it uses less digits than its factorization.

97864166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 97864166400 in words is "ninety-seven billion, eight hundred sixty-four million, one hundred sixty-six thousand, four hundred".