89626561056 has 288 divisors, whose sum is σ = 277483752000. Its totient is φ = 27344148480.

The previous prime is 89626560983. The next prime is 89626561099. The reversal of 89626561056 is 65016562698.

89626561056 is a `hidden beast` number, since 8 + 9 + 6 + 26 + 561 + 0 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 89626560993 and 89626561011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30165651 + ... + 30168621.

It is an arithmetic number, because the mean of its divisors is an integer number (963485250).

Almost surely, 2^89626561056 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 89626561056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741876000).

89626561056 is an abundant number, since it is smaller than the sum of its proper divisors (187857190944).

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

89626561056 is a wasteful number, since it uses less digits than its factorization.

89626561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 89626561056 in words is "eighty-nine billion, six hundred twenty-six million, five hundred sixty-one thousand, fifty-six".