290530289434896 has 180 divisors, whose sum is σ = 946056775872000. Its totient is φ = 82988686940544.

The previous prime is 290530289434873. The next prime is 290530289434897. The reversal of 290530289434896 is 698434982035092.

It is a happy number.

290530289434896 is a `hidden beast` number, since 2 + 9 + 0 + 5 + 30 + 2 + 89 + 434 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (290530289434897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24395805 + ... + 34296003.

Almost surely, 2^{290530289434896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290530289434896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473028387936000).

290530289434896 is an abundant number, since it is smaller than the sum of its proper divisors (655526486437104).

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

290530289434896 is a wasteful number, since it uses less digits than its factorization.

290530289434896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9904386 (or 9904370 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 290530289434896 in words is "two hundred ninety trillion, five hundred thirty billion, two hundred eighty-nine million, four hundred thirty-four thousand, eight hundred ninety-six".