89009280000 has 1100 divisors, whose sum is σ = 355162352292. Its totient is φ = 22118400000.

The previous prime is 89009279999. The next prime is 89009280011. The reversal of 89009280000 is 8290098.

It can be written as a sum of positive squares in 10 ways, for example, as 30762353664 + 58246926336 = 175392^2 + 241344^2 .

It is a super-2 number, since 2×89009280000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 881279950 + ... + 881280050.

Almost surely, 2^89009280000 is an apocalyptic number.

89009280000 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 89009280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177581176146).

89009280000 is an abundant number, since it is smaller than the sum of its proper divisors (266153072292).

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

89009280000 is a wasteful number, since it uses less digits than its factorization.

89009280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 89009280000 in words is "eighty-nine billion, nine million, two hundred eighty thousand".