896160096800 has 72 divisors (see below), whose sum is σ = 2214109444176. Its totient is φ = 354145168640.

The previous prime is 896160096779. The next prime is 896160096823. The reversal of 896160096800 is 8690061698.

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, 6681794 + ... + 6814593.

It is an arithmetic number, because the mean of its divisors is an integer number (30751520058).

Almost surely, 2^896160096800 is an apocalyptic number.

896160096800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

896160096800 is an abundant number, since it is smaller than the sum of its proper divisors (1317949347376).

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

896160096800 is a wasteful number, since it uses less digits than its factorization.

896160096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13496490 (or 13496477 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 896160096800 in words is "eight hundred ninety-six billion, one hundred sixty million, ninety-six thousand, eight hundred".