889234145280 has 1080 divisors, whose sum is σ = 3517256178072. Its totient is φ = 206561083392.

The previous prime is 889234145231. The next prime is 889234145329. The reversal of 889234145280 is 82541432988.

889234145280 is a `hidden beast` number, since 8 + 89 + 2 + 34 + 1 + 4 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (889234145231) and next prime (889234145329).

It can be written as a sum of positive squares in 4 ways, for example, as 172949520384 + 716284624896 = 415872^2 + 846336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3460054912 + ... + 3460055168.

Almost surely, 2^889234145280 is an apocalyptic number.

889234145280 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 889234145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758628089036).

889234145280 is an abundant number, since it is smaller than the sum of its proper divisors (2628022032792).

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

889234145280 is a wasteful number, since it uses less digits than its factorization.

889234145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 889234145280 in words is "eight hundred eighty-nine billion, two hundred thirty-four million, one hundred forty-five thousand, two hundred eighty".