32985722880 has 1248 divisors, whose sum is σ = 141186628800. Its totient is φ = 7266631680.

The previous prime is 32985722873. The next prime is 32985722881. The reversal of 32985722880 is 8822758923.

It is a happy number.

32985722880 is a `hidden beast` number, since 3 + 298 + 5 + 72 + 288 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32985722881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1137438706 + ... + 1137438734.

Almost surely, 2^32985722880 is an apocalyptic number.

32985722880 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 32985722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70593314400).

32985722880 is an abundant number, since it is smaller than the sum of its proper divisors (108200905920).

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

32985722880 is a wasteful number, since it uses less digits than its factorization.

32985722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 32985722880 in words is "thirty-two billion, nine hundred eighty-five million, seven hundred twenty-two thousand, eight hundred eighty".