89209981142928 has 1600 divisors, whose sum is σ = 293031144806400. Its totient is φ = 26079345377280.

The previous prime is 89209981142869. The next prime is 89209981142963. The reversal of 89209981142928 is 82924118990298.

89209981142928 is a `hidden beast` number, since 8 + 92 + 0 + 9 + 98 + 1 + 1 + 429 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 389563236318 + ... + 389563236546.

It is an arithmetic number, because the mean of its divisors is an integer number (183144465504).

Almost surely, 2^{89209981142928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89209981142928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146515572403200).

89209981142928 is an abundant number, since it is smaller than the sum of its proper divisors (203821163663472).

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

89209981142928 is a wasteful number, since it uses less digits than its factorization.

89209981142928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 72.

The spelling of 89209981142928 in words is "eighty-nine trillion, two hundred nine billion, nine hundred eighty-one million, one hundred forty-two thousand, nine hundred twenty-eight".