89636690894688 has 768 divisors, whose sum is σ = 309311259586560. Its totient is φ = 24720221011968.

The previous prime is 89636690894677. The next prime is 89636690894719. The reversal of 89636690894688 is 88649809663698.

89636690894688 is a `hidden beast` number, since 8 + 9 + 6 + 3 + 6 + 69 + 0 + 89 + 468 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89636690894598 and 89636690894607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21562829506 + ... + 21562833662.

It is an arithmetic number, because the mean of its divisors is an integer number (402749035920).

Almost surely, 2^{89636690894688} 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 89636690894688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154655629793280).

89636690894688 is an abundant number, since it is smaller than the sum of its proper divisors (219674568691872).

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

89636690894688 is a wasteful number, since it uses less digits than its factorization.

89636690894688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 46438023168, while the sum is 90.

The spelling of 89636690894688 in words is "eighty-nine trillion, six hundred thirty-six billion, six hundred ninety million, eight hundred ninety-four thousand, six hundred eighty-eight".