89701536800 has 54 divisors (see below), whose sum is σ = 219004558983. Its totient is φ = 35877226240.

The previous prime is 89701536797. The next prime is 89701536809. The reversal of 89701536800 is 863510798.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4715294224 + 84986242576 = 68668^2 + 291524^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=211780.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89701536809) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 8465906 + ... + 8476494.

Almost surely, 2^89701536800 is an apocalyptic number.

89701536800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89701536800 is an abundant number, since it is smaller than the sum of its proper divisors (129303022183).

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

89701536800 is an frugal number, since it uses more digits than its factorization.

89701536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21198 (or 10596 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 89701536800 in words is "eighty-nine billion, seven hundred one million, five hundred thirty-six thousand, eight hundred".