290095138486272 has 1536 divisors, whose sum is σ = 970056622080000. Its totient is φ = 75256351948800.

The previous prime is 290095138486267. The next prime is 290095138486289. The reversal of 290095138486272 is 272684831590092.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 808064452429 + ... + 808064452787.

It is an arithmetic number, because the mean of its divisors is an integer number (631547280000).

It is a 1-persistent number, because it is pandigital, but 2⋅290095138486272 = 580190276972544 is not.

Almost surely, 2^{290095138486272} 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 290095138486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485028311040000).

290095138486272 is an abundant number, since it is smaller than the sum of its proper divisors (679961483593728).

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

290095138486272 is a wasteful number, since it uses less digits than its factorization.

290095138486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 290095138486272 in words is "two hundred ninety trillion, ninety-five billion, one hundred thirty-eight million, four hundred eighty-six thousand, two hundred seventy-two".