89483222400 has 384 divisors, whose sum is σ = 346267837440. Its totient is φ = 20023910400.

The previous prime is 89483222369. The next prime is 89483222407. The reversal of 89483222400 is 422238498.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89483222407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1340209 + ... + 1405391.

It is an arithmetic number, because the mean of its divisors is an integer number (901739160).

Almost surely, 2^89483222400 is an apocalyptic number.

89483222400 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 89483222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173133918720).

89483222400 is an abundant number, since it is smaller than the sum of its proper divisors (256784615040).

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

89483222400 is a wasteful number, since it uses less digits than its factorization.

89483222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65234 (or 65217 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 89483222400 in words is "eighty-nine billion, four hundred eighty-three million, two hundred twenty-two thousand, four hundred".