32005008000 has 384 divisors, whose sum is σ = 131361834240. Its totient is φ = 7315200000.

The previous prime is 32005007987. The next prime is 32005008011. The reversal of 32005008000 is 80050023.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992125 + ... + 1023875.

It is an arithmetic number, because the mean of its divisors is an integer number (342088110).

Almost surely, 2^32005008000 is an apocalyptic number.

32005008000 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 32005008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65680917120).

32005008000 is an abundant number, since it is smaller than the sum of its proper divisors (99356826240).

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

32005008000 is a wasteful number, since it uses less digits than its factorization.

32005008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31793 (or 31768 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 32005008000 its reverse (80050023), we get a palindrome (32085058023).

The spelling of 32005008000 in words is "thirty-two billion, five million, eight thousand".