289293120000 has 500 divisors, whose sum is σ = 1079081025726. Its totient is φ = 77137920000.

The previous prime is 289293119911. The next prime is 289293120013. The reversal of 289293120000 is 21392982.

It can be written as a sum of positive squares in 5 ways, for example, as 12583454976 + 276709665024 = 112176^2 + 526032^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25914420 + ... + 25925580.

Almost surely, 2^289293120000 is an apocalyptic number.

289293120000 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 289293120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539540512863).

289293120000 is an abundant number, since it is smaller than the sum of its proper divisors (789787905726).

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

289293120000 is an frugal number, since it uses more digits than its factorization.

289293120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11211 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 289293120000 in words is "two hundred eighty-nine billion, two hundred ninety-three million, one hundred twenty thousand".