89716165056 has 840 divisors, whose sum is σ = 337403998800. Its totient is φ = 23410114560.

The previous prime is 89716165051. The next prime is 89716165057. The reversal of 89716165056 is 65056161798.

89716165056 is a `hidden beast` number, since 8 + 9 + 71 + 61 + 6 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89716164993 and 89716165011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89716165051) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 139962496 + ... + 139963136.

Almost surely, 2^89716165056 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 89716165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168701999400).

89716165056 is an abundant number, since it is smaller than the sum of its proper divisors (247687833744).

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

89716165056 is a wasteful number, since it uses less digits than its factorization.

89716165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 89716165056 in words is "eighty-nine billion, seven hundred sixteen million, one hundred sixty-five thousand, fifty-six".