290828772264576 has 1024 divisors, whose sum is σ = 976085889408000. Its totient is φ = 76237639188480.

The previous prime is 290828772264523. The next prime is 290828772264577. The reversal of 290828772264576 is 675462277828092.

It is a super-2 number, since 2×290828772264576² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 290828772264498 and 290828772264507.

It is not an unprimeable number, because it can be changed into a prime (290828772264577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 331617755850 + ... + 331617756726.

It is an arithmetic number, because the mean of its divisors is an integer number (953208876375).

Almost surely, 2^{290828772264576} is an apocalyptic number.

290828772264576 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 290828772264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488042944704000).

290828772264576 is an abundant number, since it is smaller than the sum of its proper divisors (685257117143424).

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

290828772264576 is a wasteful number, since it uses less digits than its factorization.

290828772264576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 2275983360, while the sum is 75.

The spelling of 290828772264576 in words is "two hundred ninety trillion, eight hundred twenty-eight billion, seven hundred seventy-two million, two hundred sixty-four thousand, five hundred seventy-six".