32781143200000 has 216 divisors, whose sum is σ = 88078937727816. Its totient is φ = 12103802880000.

The previous prime is 32781143199979. The next prime is 32781143200007. The reversal of 32781143200000 is 234118723.

It can be written as a sum of positive squares in 12 ways, for example, as 29525226098944 + 3255917101056 = 5433712^2 + 1804416^2 .

It is not an unprimeable number, because it can be changed into a prime (32781143200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8823984 + ... + 11976016.

It is an arithmetic number, because the mean of its divisors is an integer number (407772859851).

Almost surely, 2^{32781143200000} 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 32781143200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44039468863908).

32781143200000 is an abundant number, since it is smaller than the sum of its proper divisors (55297794527816).

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

32781143200000 is an frugal number, since it uses more digits than its factorization.

32781143200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152087 (or 3152053 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 32781143200000 its reverse (234118723), we get a palindrome (32781377318723).

The spelling of 32781143200000 in words is "thirty-two trillion, seven hundred eighty-one billion, one hundred forty-three million, two hundred thousand".