89825280000 has 680 divisors, whose sum is σ = 324296916768. Its totient is φ = 22020096000.

The previous prime is 89825279989. The next prime is 89825280067. The reversal of 89825280000 is 8252898.

It is a tau number, because it is divible by the number of its divisors (680).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2088959979 + ... + 2088960021.

Almost surely, 2^89825280000 is an apocalyptic number.

89825280000 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 89825280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162148458384).

89825280000 is an abundant number, since it is smaller than the sum of its proper divisors (234471636768).

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

89825280000 is an frugal number, since it uses more digits than its factorization.

89825280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 89825280000 in words is "eighty-nine billion, eight hundred twenty-five million, two hundred eighty thousand".