89706517728 has 96 divisors (see below), whose sum is σ = 250051463424. Its totient is φ = 28061939712.

The previous prime is 89706517697. The next prime is 89706517729. The reversal of 89706517728 is 82771560798.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×89706517728³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89706517729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487101 + ... + 645507.

It is an arithmetic number, because the mean of its divisors is an integer number (2604702744).

Almost surely, 2^89706517728 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 89706517728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125025731712).

89706517728 is an abundant number, since it is smaller than the sum of its proper divisors (160344945696).

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

89706517728 is a wasteful number, since it uses less digits than its factorization.

89706517728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158784 (or 158776 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 60.

The spelling of 89706517728 in words is "eighty-nine billion, seven hundred six million, five hundred seventeen thousand, seven hundred twenty-eight".