889788672000 has 1536 divisors, whose sum is σ = 3569215104000. Its totient is φ = 217998950400.

The previous prime is 889788671999. The next prime is 889788672011. The reversal of 889788672000 is 276887988.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4610303904 + ... + 4610304096.

It is an arithmetic number, because the mean of its divisors is an integer number (2323707750).

Almost surely, 2^889788672000 is an apocalyptic number.

889788672000 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 889788672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784607552000).

889788672000 is an abundant number, since it is smaller than the sum of its proper divisors (2679426432000).

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

889788672000 is a wasteful number, since it uses less digits than its factorization.

889788672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 889788672000 in words is "eight hundred eighty-nine billion, seven hundred eighty-eight million, six hundred seventy-two thousand".