289487016000 has 2688 divisors, whose sum is σ = 1420621203456. Its totient is φ = 54499737600.

The previous prime is 289487015963. The next prime is 289487016043. The reversal of 289487016000 is 610784982.

289487016000 is a `hidden beast` number, since 2 + 8 + 9 + 487 + 0 + 160 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2561831944 + ... + 2561832056.

It is an arithmetic number, because the mean of its divisors is an integer number (528504912).

Almost surely, 2^289487016000 is an apocalyptic number.

289487016000 is a gapful number since it is divisible by the number (20) 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 289487016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710310601728).

289487016000 is an abundant number, since it is smaller than the sum of its proper divisors (1131134187456).

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

289487016000 is a wasteful number, since it uses less digits than its factorization.

289487016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 289487016000 in words is "two hundred eighty-nine billion, four hundred eighty-seven million, sixteen thousand".