89985028224 has 256 divisors, whose sum is σ = 294596628480. Its totient is φ = 23698870272.

The previous prime is 89985028219. The next prime is 89985028249. The reversal of 89985028224 is 42282058998.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33789517 + ... + 33792179.

It is an arithmetic number, because the mean of its divisors is an integer number (1150768080).

Almost surely, 2^89985028224 is an apocalyptic number.

89985028224 is a gapful number since it is divisible by the number (84) 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 89985028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147298314240).

89985028224 is an abundant number, since it is smaller than the sum of its proper divisors (204611600256).

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

89985028224 is a wasteful number, since it uses less digits than its factorization.

89985028224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 89985028224 in words is "eighty-nine billion, nine hundred eighty-five million, twenty-eight thousand, two hundred twenty-four".