89128321600 has 168 divisors, whose sum is σ = 229617178560. Its totient is φ = 34005780480.

The previous prime is 89128321589. The next prime is 89128321603. The reversal of 89128321600 is 612382198.

It is a super-2 number, since 2×89128321600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (89128321603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3839629 + ... + 3862771.

It is an arithmetic number, because the mean of its divisors is an integer number (1366768920).

Almost surely, 2^89128321600 is an apocalyptic number.

89128321600 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 89128321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114808589280).

89128321600 is an abundant number, since it is smaller than the sum of its proper divisors (140488856960).

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

89128321600 is a wasteful number, since it uses less digits than its factorization.

89128321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23277 (or 23262 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 89128321600 in words is "eighty-nine billion, one hundred twenty-eight million, three hundred twenty-one thousand, six hundred".