89088676560 has 240 divisors, whose sum is σ = 336213730944. Its totient is φ = 20976012288.

The previous prime is 89088676549. The next prime is 89088676561. The reversal of 89088676560 is 6567688098.

89088676560 is a `hidden beast` number, since 8 + 9 + 0 + 8 + 8 + 67 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89088676561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8367 + ... + 422193.

Almost surely, 2^89088676560 is an apocalyptic number.

89088676560 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 89088676560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168106865472).

89088676560 is an abundant number, since it is smaller than the sum of its proper divisors (247125054384).

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

89088676560 is a wasteful number, since it uses less digits than its factorization.

89088676560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413882 (or 413873 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 89088676560 in words is "eighty-nine billion, eighty-eight million, six hundred seventy-six thousand, five hundred sixty".