96801370800 has 240 divisors, whose sum is σ = 315884544000. Its totient is φ = 25332618240.

The previous prime is 96801370789. The next prime is 96801370801. The reversal of 96801370800 is 807310869.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×96801370800³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (96801370801) 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 47 ways as a sum of consecutive naturals, for example, 75684561 + ... + 75685839.

It is an arithmetic number, because the mean of its divisors is an integer number (1316185600).

Almost surely, 2^96801370800 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 96801370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157942272000).

96801370800 is an abundant number, since it is smaller than the sum of its proper divisors (219083173200).

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

96801370800 is a wasteful number, since it uses less digits than its factorization.

96801370800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 96801370800 in words is "ninety-six billion, eight hundred one million, three hundred seventy thousand, eight hundred".