32525012000 has 192 divisors, whose sum is σ = 91126080864. Its totient is φ = 11302502400.

The previous prime is 32525011903. The next prime is 32525012021. The reversal of 32525012000 is 21052523.

It can be written as a sum of positive squares in 16 ways, for example, as 8135318416 + 24389693584 = 90196^2 + 156172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865604 + ... + 902396.

Almost surely, 2^32525012000 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 32525012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45563040432).

32525012000 is an abundant number, since it is smaller than the sum of its proper divisors (58601068864).

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

32525012000 is a wasteful number, since it uses less digits than its factorization.

32525012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36848 (or 36830 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 32525012000 its reverse (21052523), we get a palindrome (32546064523).

The spelling of 32525012000 in words is "thirty-two billion, five hundred twenty-five million, twelve thousand".