889345474560 has 1088 divisors, whose sum is σ = 3435863736960. Its totient is φ = 220150628352.

The previous prime is 889345474513. The next prime is 889345474579. The reversal of 889345474560 is 65474543988.

889345474560 is a `hidden beast` number, since 8 + 8 + 9 + 34 + 547 + 4 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12182814684 + ... + 12182814756.

Almost surely, 2^889345474560 is an apocalyptic number.

889345474560 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 889345474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717931868480).

889345474560 is an abundant number, since it is smaller than the sum of its proper divisors (2546518262400).

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

889345474560 is an frugal number, since it uses more digits than its factorization.

889345474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 889345474560 in words is "eight hundred eighty-nine billion, three hundred forty-five million, four hundred seventy-four thousand, five hundred sixty".