89193340800 has 288 divisors, whose sum is σ = 321090475680. Its totient is φ = 23573544960.

The previous prime is 89193340799. The next prime is 89193340837. The reversal of 89193340800 is 804339198.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3240697 + ... + 3268103.

It is an arithmetic number, because the mean of its divisors is an integer number (1114897485).

Almost surely, 2^89193340800 is an apocalyptic number.

89193340800 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 89193340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160545237840).

89193340800 is an abundant number, since it is smaller than the sum of its proper divisors (231897134880).

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

89193340800 is a wasteful number, since it uses less digits than its factorization.

89193340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27550 (or 27530 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

Adding to 89193340800 its reverse (804339198), we get a palindrome (89997679998).

The spelling of 89193340800 in words is "eighty-nine billion, one hundred ninety-three million, three hundred forty thousand, eight hundred".