32161008000 has 512 divisors, whose sum is σ = 123181793280. Its totient is φ = 7335936000.

The previous prime is 32161007981. The next prime is 32161008037. The reversal of 32161008000 is 80016123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8974209 + ... + 8977791.

It is an arithmetic number, because the mean of its divisors is an integer number (240589440).

Almost surely, 2^32161008000 is an apocalyptic number.

32161008000 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 32161008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61590896640).

32161008000 is an abundant number, since it is smaller than the sum of its proper divisors (91020785280).

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

32161008000 is a wasteful number, since it uses less digits than its factorization.

32161008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 32161008000 in words is "thirty-two billion, one hundred sixty-one million, eight thousand".