289315785096 has 640 divisors, whose sum is σ = 950244556800. Its totient is φ = 81478172160.

The previous prime is 289315785067. The next prime is 289315785113. The reversal of 289315785096 is 690587513982.

289315785096 is a `hidden beast` number, since 2 + 8 + 9 + 3 + 1 + 578 + 50 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 874065651 + ... + 874065981.

It is an arithmetic number, because the mean of its divisors is an integer number (1484757120).

Almost surely, 2^289315785096 is an apocalyptic number.

289315785096 is a gapful number since it is divisible by the number (26) 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 289315785096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475122278400).

289315785096 is an abundant number, since it is smaller than the sum of its proper divisors (660928771704).

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

289315785096 is a wasteful number, since it uses less digits than its factorization.

289315785096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 289315785096 in words is "two hundred eighty-nine billion, three hundred fifteen million, seven hundred eighty-five thousand, ninety-six".