32545211040 has 144 divisors (see below), whose sum is σ = 111139112448. Its totient is φ = 8672583168.

The previous prime is 32545211033. The next prime is 32545211059. The reversal of 32545211040 is 4011254523.

32545211040 is a `hidden beast` number, since 3 + 2 + 545 + 2 + 110 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 32545210995 and 32545211013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2249269 + ... + 2263691.

It is an arithmetic number, because the mean of its divisors is an integer number (771799392).

Almost surely, 2^32545211040 is an apocalyptic number.

32545211040 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 32545211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55569556224).

32545211040 is an abundant number, since it is smaller than the sum of its proper divisors (78593901408).

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

32545211040 is a wasteful number, since it uses less digits than its factorization.

32545211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16011 (or 16000 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 32545211040 its reverse (4011254523), we get a palindrome (36556465563).

The spelling of 32545211040 in words is "thirty-two billion, five hundred forty-five million, two hundred eleven thousand, forty".