290212561296 has 240 divisors, whose sum is σ = 946206188928. Its totient is φ = 81326592000.

The previous prime is 290212561283. The next prime is 290212561297. The reversal of 290212561296 is 692165212092.

290212561296 is a `hidden beast` number, since 2 + 9 + 0 + 2 + 1 + 25 + 612 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (290212561297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10880136 + ... + 10906776.

Almost surely, 2^290212561296 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 290212561296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473103094464).

290212561296 is an abundant number, since it is smaller than the sum of its proper divisors (655993627632).

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

290212561296 is a wasteful number, since it uses less digits than its factorization.

290212561296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26870 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 290212561296 in words is "two hundred ninety billion, two hundred twelve million, five hundred sixty-one thousand, two hundred ninety-six".