32130616250500 has 192 divisors, whose sum is σ = 73375969867200. Its totient is φ = 12275351961600.

The previous prime is 32130616250443. The next prime is 32130616250503. The reversal of 32130616250500 is 505261603123.

It can be written as a sum of positive squares in 32 ways, for example, as 32044113205504 + 86503044996 = 5660752^2 + 294114^2 .

It is not an unprimeable number, because it can be changed into a prime (32130616250503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4091504574 + ... + 4091512426.

It is an arithmetic number, because the mean of its divisors is an integer number (382166509725).

Almost surely, 2^{32130616250500} 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 32130616250500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36687984933600).

32130616250500 is an abundant number, since it is smaller than the sum of its proper divisors (41245353616700).

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

32130616250500 is a wasteful number, since it uses less digits than its factorization.

32130616250500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10907 (or 10895 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 32130616250500 its reverse (505261603123), we get a palindrome (32635877853623).

The spelling of 32130616250500 in words is "thirty-two trillion, one hundred thirty billion, six hundred sixteen million, two hundred fifty thousand, five hundred".