32566135140 has 576 divisors, whose sum is σ = 128525709312. Its totient is φ = 6478617600.

The previous prime is 32566135093. The next prime is 32566135141. The reversal of 32566135140 is 4153166523.

32566135140 is a `hidden beast` number, since 3 + 2 + 566 + 1 + 3 + 51 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32566135095 and 32566135104.

It is not an unprimeable number, because it can be changed into a prime (32566135141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31586425 + ... + 31587455.

It is an arithmetic number, because the mean of its divisors is an integer number (223134912).

Almost surely, 2^32566135140 is an apocalyptic number.

32566135140 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 32566135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64262854656).

32566135140 is an abundant number, since it is smaller than the sum of its proper divisors (95959574172).

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

32566135140 is a wasteful number, since it uses less digits than its factorization.

32566135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 32566135140 in words is "thirty-two billion, five hundred sixty-six million, one hundred thirty-five thousand, one hundred forty".