89526485375424 has 672 divisors, whose sum is σ = 273658331381760. Its totient is φ = 27924950237184.

The previous prime is 89526485375377. The next prime is 89526485375491. The reversal of 89526485375424 is 42457358462598.

89526485375424 is a `hidden beast` number, since 8 + 9 + 5 + 2 + 6 + 48 + 5 + 37 + 542 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 81908952222 + ... + 81908953314.

Almost surely, 2^{89526485375424} 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 89526485375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136829165690880).

89526485375424 is an abundant number, since it is smaller than the sum of its proper divisors (184131846006336).

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

89526485375424 is a wasteful number, since it uses less digits than its factorization.

89526485375424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1884 counting only the distinct ones).

The product of its digits is 2322432000, while the sum is 72.

The spelling of 89526485375424 in words is "eighty-nine trillion, five hundred twenty-six billion, four hundred eighty-five million, three hundred seventy-five thousand, four hundred twenty-four".