89495464800 has 144 divisors (see below), whose sum is σ = 332923191552. Its totient is φ = 20456102400.

The previous prime is 89495464777. The next prime is 89495464859. The reversal of 89495464800 is 846459498.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2646756 + ... + 2680355.

It is an arithmetic number, because the mean of its divisors is an integer number (2311966608).

Almost surely, 2^89495464800 is an apocalyptic number.

89495464800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89495464800 is an abundant number, since it is smaller than the sum of its proper divisors (243427726752).

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

89495464800 is a wasteful number, since it uses less digits than its factorization.

89495464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327141 (or 5327128 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 89495464800 in words is "eighty-nine billion, four hundred ninety-five million, four hundred sixty-four thousand, eight hundred".