289990471680 has 2080 divisors, whose sum is σ = 1366686566784. Its totient is φ = 57076088832.

The previous prime is 289990471643. The next prime is 289990471681. The reversal of 289990471680 is 86174099982.

289990471680 is a `hidden beast` number, since 2 + 89 + 9 + 9 + 0 + 471 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289990471681) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 2566287304 + ... + 2566287416.

Almost surely, 2^289990471680 is an apocalyptic number.

289990471680 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 289990471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683343283392).

289990471680 is an abundant number, since it is smaller than the sum of its proper divisors (1076696095104).

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

289990471680 is a wasteful number, since it uses less digits than its factorization.

289990471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 289990471680 in words is "two hundred eighty-nine billion, nine hundred ninety million, four hundred seventy-one thousand, six hundred eighty".