289948256640 has 1536 divisors, whose sum is σ = 1280940480000. Its totient is φ = 61618765824.

The previous prime is 289948256627. The next prime is 289948256657. The reversal of 289948256640 is 46652849982.

289948256640 is a `hidden beast` number, since 2 + 8 + 99 + 482 + 5 + 6 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1077874426 + ... + 1077874694.

It is an arithmetic number, because the mean of its divisors is an integer number (833945625).

Almost surely, 2^289948256640 is an apocalyptic number.

289948256640 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 289948256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640470240000).

289948256640 is an abundant number, since it is smaller than the sum of its proper divisors (990992223360).

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

289948256640 is a wasteful number, since it uses less digits than its factorization.

289948256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 289948256640 in words is "two hundred eighty-nine billion, nine hundred forty-eight million, two hundred fifty-six thousand, six hundred forty".