89771441760 has 2304 divisors, whose sum is σ = 443816755200. Its totient is φ = 16257024000.

The previous prime is 89771441741. The next prime is 89771441783. The reversal of 89771441760 is 6714417798.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 89771441697 and 89771441706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2189547340 + ... + 2189547380.

It is an arithmetic number, because the mean of its divisors is an integer number (192628800).

Almost surely, 2^89771441760 is an apocalyptic number.

89771441760 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 89771441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221908377600).

89771441760 is an abundant number, since it is smaller than the sum of its proper divisors (354045313440).

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

89771441760 is a wasteful number, since it uses less digits than its factorization.

89771441760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 89771441760 in words is "eighty-nine billion, seven hundred seventy-one million, four hundred forty-one thousand, seven hundred sixty".