289257795161000 has 128 divisors (see below), whose sum is σ = 682935119661600. Its totient is φ = 114665435852800.

The previous prime is 289257795160967. The next prime is 289257795161011. The reversal of 289257795161000 is 161597752982.

It can be written as a sum of positive squares in 16 ways, for example, as 62254214537956 + 227003580623044 = 7890134^2 + 15066638^2 .

It is a super-2 number, since 2×289257795161000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968599706 + ... + 968898294.

Almost surely, 2^{289257795161000} is an apocalyptic number.

289257795161000 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 289257795161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341467559830800).

289257795161000 is an abundant number, since it is smaller than the sum of its proper divisors (393677324500600).

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

289257795161000 is a wasteful number, since it uses less digits than its factorization.

289257795161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307296 (or 307282 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 62.

The spelling of 289257795161000 in words is "two hundred eighty-nine trillion, two hundred fifty-seven billion, seven hundred ninety-five million, one hundred sixty-one thousand".