32985348833280 has 168 divisors, whose sum is σ = 105553116266472. Its totient is φ = 8796093022208.

The previous prime is 32985348833279. The next prime is 32985348833287. The reversal of 32985348833280 is 8233884358923.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)³⁸.

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 40960 × 24576 × 32768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32985348833287) by changing a digit.

In principle, a polygon with 32985348833280 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6597069766654 + ... + 6597069766658.

It is an arithmetic number, because the mean of its divisors is an integer number (628292358729).

Almost surely, 2^{32985348833280} is an apocalyptic number.

32985348833280 is a gapful number since it is divisible by the number (30) 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 32985348833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52776558133236).

32985348833280 is an abundant number, since it is smaller than the sum of its proper divisors (72567767433192).

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

32985348833280 is an frugal number, since it uses more digits than its factorization.

32985348833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 66.

The spelling of 32985348833280 in words is "thirty-two trillion, nine hundred eighty-five billion, three hundred forty-eight million, eight hundred thirty-three thousand, two hundred eighty".