208104502992640 has 288 divisors, whose sum is σ = 537028217510400. Its totient is φ = 77010219417600.

The previous prime is 208104502992637. The next prime is 208104502992649. The reversal of 208104502992640 is 46299205401802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208104502992649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5595843166 + ... + 5595880354.

It is an arithmetic number, because the mean of its divisors is an integer number (1864681310800).

Almost surely, 2^{208104502992640} is an apocalyptic number.

208104502992640 is a gapful number since it is divisible by the number (20) 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 208104502992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268514108755200).

208104502992640 is an abundant number, since it is smaller than the sum of its proper divisors (328923714517760).

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

208104502992640 is a wasteful number, since it uses less digits than its factorization.

208104502992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42623 (or 42609 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 208104502992640 in words is "two hundred eight trillion, one hundred four billion, five hundred two million, nine hundred ninety-two thousand, six hundred forty".