20541235040001 has 80 divisors (see below), whose sum is σ = 33103584765328. Its totient is φ = 12618535104000.

The previous prime is 20541235039907. The next prime is 20541235040023. The reversal of 20541235040001 is 10004053214502.

20541235040001 is a `hidden beast` number, since 20 + 5 + 4 + 1 + 235 + 0 + 400 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1522170225 + 20539712869776 = 39015^2 + 4532076^2 .

It is not a de Polignac number, because 20541235040001 - 2⁷ = 20541235039873 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20541235041001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2535637851 + ... + 2535645951.

Almost surely, 2^{20541235040001} is an apocalyptic number.

It is an amenable number.

20541235040001 is a deficient number, since it is larger than the sum of its proper divisors (12562349725327).

20541235040001 is a wasteful number, since it uses less digits than its factorization.

20541235040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064 (or 12055 counting only the distinct ones).

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

Adding to 20541235040001 its reverse (10004053214502), we get a palindrome (30545288254503).

The spelling of 20541235040001 in words is "twenty trillion, five hundred forty-one billion, two hundred thirty-five million, forty thousand, one".