32536483328160 has 864 divisors, whose sum is σ = 139765603565952. Its totient is φ = 7113556961280.

The previous prime is 32536483328131. The next prime is 32536483328161. The reversal of 32536483328160 is 6182338463523.

32536483328160 is a `hidden beast` number, since 3 + 2 + 53 + 6 + 483 + 32 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×32536483328160³ (a number of 42 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 32536483328097 and 32536483328106.

It is not an unprimeable number, because it can be changed into a prime (32536483328161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43446490 + ... + 44189030.

It is an arithmetic number, because the mean of its divisors is an integer number (161765744868).

Almost surely, 2^{32536483328160} is an apocalyptic number.

32536483328160 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 32536483328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69882801782976).

32536483328160 is an abundant number, since it is smaller than the sum of its proper divisors (107229120237792).

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

32536483328160 is a wasteful number, since it uses less digits than its factorization.

32536483328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742608 (or 742581 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 32536483328160 in words is "thirty-two trillion, five hundred thirty-six billion, four hundred eighty-three million, three hundred twenty-eight thousand, one hundred sixty".