32016505466880 has 624 divisors, whose sum is σ = 121574213729280. Its totient is φ = 7728984883200.

The previous prime is 32016505466863. The next prime is 32016505466951. The reversal of 32016505466880 is 8866450561023.

32016505466880 is a `hidden beast` number, since 3 + 2 + 0 + 16 + 5 + 0 + 546 + 6 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484544245 + ... + 484610315.

It is an arithmetic number, because the mean of its divisors is an integer number (194830470720).

Almost surely, 2^{32016505466880} is an apocalyptic number.

32016505466880 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 32016505466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60787106864640).

32016505466880 is an abundant number, since it is smaller than the sum of its proper divisors (89557708262400).

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

32016505466880 is a wasteful number, since it uses less digits than its factorization.

32016505466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66356 (or 66331 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 32016505466880 in words is "thirty-two trillion, sixteen billion, five hundred five million, four hundred sixty-six thousand, eight hundred eighty".