89394859042560 has 288 divisors, whose sum is σ = 317302596576000. Its totient is φ = 23832992600064.

The previous prime is 89394859042543. The next prime is 89394859042571. The reversal of 89394859042560 is 6524095849398.

89394859042560 is a `hidden beast` number, since 8 + 9 + 3 + 9 + 4 + 8 + 59 + 0 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 146887371 + ... + 147494709.

It is an arithmetic number, because the mean of its divisors is an integer number (1101745127000).

Almost surely, 2^{89394859042560} is an apocalyptic number.

89394859042560 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 89394859042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158651298288000).

89394859042560 is an abundant number, since it is smaller than the sum of its proper divisors (227907737533440).

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

89394859042560 is a wasteful number, since it uses less digits than its factorization.

89394859042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611628 (or 611608 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 89394859042560 in words is "eighty-nine trillion, three hundred ninety-four billion, eight hundred fifty-nine million, forty-two thousand, five hundred sixty".