89919772800 has 768 divisors, whose sum is σ = 368515163520. Its totient is φ = 18933350400.

The previous prime is 89919772793. The next prime is 89919772909. The reversal of 89919772800 is 827791998.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 23335674 + ... + 23339526.

Almost surely, 2^89919772800 is an apocalyptic number.

89919772800 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 89919772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184257581760).

89919772800 is an abundant number, since it is smaller than the sum of its proper divisors (278595390720).

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

89919772800 is a wasteful number, since it uses less digits than its factorization.

89919772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 60.

The spelling of 89919772800 in words is "eighty-nine billion, nine hundred nineteen million, seven hundred seventy-two thousand, eight hundred".