32006313120960 has 336 divisors, whose sum is σ = 120174456729600. Its totient is φ = 8085805046784.

The previous prime is 32006313120871. The next prime is 32006313120973. The reversal of 32006313120960 is 6902131360023.

It is a happy number.

32006313120960 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 631 + 3 + 12 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 9354240 + ... + 12309119.

It is an arithmetic number, because the mean of its divisors is an integer number (357662073600).

Almost surely, 2^{32006313120960} is an apocalyptic number.

32006313120960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32006313120960 is an abundant number, since it is smaller than the sum of its proper divisors (88168143608640).

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

32006313120960 is a wasteful number, since it uses less digits than its factorization.

32006313120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21663410 (or 21663388 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Adding to 32006313120960 its reverse (6902131360023), we get a palindrome (38908444480983).

The spelling of 32006313120960 in words is "thirty-two trillion, six billion, three hundred thirteen million, one hundred twenty thousand, nine hundred sixty".