32130816000 has 768 divisors, whose sum is σ = 119219143680. Its totient is φ = 7641497600.

The previous prime is 32130815987. The next prime is 32130816019. The reversal of 32130816000 is 61803123.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 300287947 + ... + 300288053.

It is an arithmetic number, because the mean of its divisors is an integer number (155233260).

Almost surely, 2^32130816000 is an apocalyptic number.

32130816000 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 32130816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59609571840).

32130816000 is an abundant number, since it is smaller than the sum of its proper divisors (87088327680).

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

32130816000 is a wasteful number, since it uses less digits than its factorization.

32130816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 32130816000 in words is "thirty-two billion, one hundred thirty million, eight hundred sixteen thousand".