32081132160 has 1792 divisors, whose sum is σ = 154118246400. Its totient is φ = 6180986880.

The previous prime is 32081132147. The next prime is 32081132201. The reversal of 32081132160 is 6123118023.

It is a happy number.

32081132160 is a `hidden beast` number, since 320 + 8 + 11 + 321 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 682577257 + ... + 682577303.

Almost surely, 2^32081132160 is an apocalyptic number.

32081132160 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 32081132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77059123200).

32081132160 is an abundant number, since it is smaller than the sum of its proper divisors (122037114240).

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

32081132160 is a wasteful number, since it uses less digits than its factorization.

32081132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 32081132160 in words is "thirty-two billion, eighty-one million, one hundred thirty-two thousand, one hundred sixty".