290388997737552 has 640 divisors, whose sum is σ = 927477597634560. Its totient is φ = 76511895183360.

The previous prime is 290388997737499. The next prime is 290388997737557. The reversal of 290388997737552 is 255737799883092.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290388997737557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27402938718 + ... + 27402949314.

It is an arithmetic number, because the mean of its divisors is an integer number (1449183746304).

Almost surely, 2^{290388997737552} 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 290388997737552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463738798817280).

290388997737552 is an abundant number, since it is smaller than the sum of its proper divisors (637088599897008).

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

290388997737552 is a wasteful number, since it uses less digits than its factorization.

290388997737552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11845 counting only the distinct ones).

The product of its (nonzero) digits is 14402707200, while the sum is 84.

The spelling of 290388997737552 in words is "two hundred ninety trillion, three hundred eighty-eight billion, nine hundred ninety-seven million, seven hundred thirty-seven thousand, five hundred fifty-two".