889871220564480 has 640 divisors, whose sum is σ = 3940858286069760. Its totient is φ = 184908304465920.

The previous prime is 889871220564461. The next prime is 889871220564493. The reversal of 889871220564480 is 84465022178988.

889871220564480 is a `hidden beast` number, since 8 + 8 + 9 + 8 + 7 + 12 + 2 + 0 + 564 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 889871220564399 and 889871220564408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78277074 + ... + 88921553.

It is an arithmetic number, because the mean of its divisors is an integer number (6157591071984).

Almost surely, 2^{889871220564480} is an apocalyptic number.

889871220564480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

889871220564480 is an abundant number, since it is smaller than the sum of its proper divisors (3050987065505280).

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

889871220564480 is a wasteful number, since it uses less digits than its factorization.

889871220564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167198677 (or 167198655 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 889871220564480 in words is "eight hundred eighty-nine trillion, eight hundred seventy-one billion, two hundred twenty million, five hundred sixty-four thousand, four hundred eighty".