32868590565440 has 672 divisors, whose sum is σ = 93742135868160. Its totient is φ = 10941887545344.

The previous prime is 32868590565323. The next prime is 32868590565469. The reversal of 32868590565440 is 4456509586823.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 21083123381 + ... + 21083124939.

Almost surely, 2^{32868590565440} 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 32868590565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46871067934080).

32868590565440 is an abundant number, since it is smaller than the sum of its proper divisors (60873545302720).

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

32868590565440 is a wasteful number, since it uses less digits than its factorization.

32868590565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 65.

The spelling of 32868590565440 in words is "thirty-two trillion, eight hundred sixty-eight billion, five hundred ninety million, five hundred sixty-five thousand, four hundred forty".