32981520000 has 960 divisors, whose sum is σ = 132895334880. Its totient is φ = 7142400000.

The previous prime is 32981519957. The next prime is 32981520001. The reversal of 32981520000 is 2518923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 32981520000.

It is not an unprimeable number, because it can be changed into a prime (32981520001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1063919985 + ... + 1063920015.

Almost surely, 2^32981520000 is an apocalyptic number.

32981520000 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 32981520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66447667440).

32981520000 is an abundant number, since it is smaller than the sum of its proper divisors (99913814880).

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

32981520000 is a wasteful number, since it uses less digits than its factorization.

32981520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 32981520000 in words is "thirty-two billion, nine hundred eighty-one million, five hundred twenty thousand".