89227776800 has 162 divisors, whose sum is σ = 222826677633. Its totient is φ = 34890164480.

The previous prime is 89227776793. The next prime is 89227776809. The reversal of 89227776800 is 867772298.

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 2 ways, for example, as 87443221264 + 1784555536 = 295708^2 + 42244^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=211220.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89227776809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 498479111 + ... + 498479289.

Almost surely, 2^89227776800 is an apocalyptic number.

89227776800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89227776800

89227776800 is an abundant number, since it is smaller than the sum of its proper divisors (133598900833).

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

89227776800 is an equidigital number, since it uses as much as digits as its factorization.

89227776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 56.

The spelling of 89227776800 in words is "eighty-nine billion, two hundred twenty-seven million, seven hundred seventy-six thousand, eight hundred".