89084923200 has 2688 divisors, whose sum is σ = 447011389440. Its totient is φ = 16721510400.

The previous prime is 89084923189. The next prime is 89084923267. The reversal of 89084923200 is 232948098.

It is a super-2 number, since 2×89084923200² (a number of 23 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 2071742379 + ... + 2071742421.

It is an arithmetic number, because the mean of its divisors is an integer number (166298880).

Almost surely, 2^89084923200 is an apocalyptic number.

89084923200 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 89084923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223505694720).

89084923200 is an abundant number, since it is smaller than the sum of its proper divisors (357926466240).

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

89084923200 is a wasteful number, since it uses less digits than its factorization.

89084923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 89084923200 in words is "eighty-nine billion, eighty-four million, nine hundred twenty-three thousand, two hundred".