20135135581632 has 84 divisors (see below), whose sum is σ = 61108655995296. Its totient is φ = 6316905277440.

The previous prime is 20135135581607. The next prime is 20135135581651. The reversal of 20135135581632 is 23618553153102.

20135135581632 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 5 + 1 + 3 + 5 + 5 + 8 + 1 + 632 = 666.

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 11 ways as a sum of consecutive naturals, for example, 1028132344 + ... + 1028151927.

It is an arithmetic number, because the mean of its divisors is an integer number (727483999944).

Almost surely, 2^{20135135581632} is an apocalyptic number.

It is an amenable number.

20135135581632 is an abundant number, since it is smaller than the sum of its proper divisors (40973520413664).

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

20135135581632 is a wasteful number, since it uses less digits than its factorization.

20135135581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056284306 (or 2056284293 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 20135135581632 in words is "twenty trillion, one hundred thirty-five billion, one hundred thirty-five million, five hundred eighty-one thousand, six hundred thirty-two".