20145011504211 has 160 divisors (see below), whose sum is σ = 34106992128000. Its totient is φ = 11739046176000.

The previous prime is 20145011504183. The next prime is 20145011504221. The reversal of 20145011504211 is 11240511054102.

20145011504211 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 501 + 150 + 4 + 2 + 1 + 1 = 666.

It is not a de Polignac number, because 20145011504211 - 2⁷ = 20145011504083 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (20145011504221) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4556661781 + ... + 4556666201.

It is an arithmetic number, because the mean of its divisors is an integer number (213168700800).

Almost surely, 2^{20145011504211} is an apocalyptic number.

20145011504211 is a deficient number, since it is larger than the sum of its proper divisors (13961980623789).

20145011504211 is a wasteful number, since it uses less digits than its factorization.

20145011504211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 20145011504211 its reverse (11240511054102), we get a palindrome (31385522558313).

The spelling of 20145011504211 in words is "twenty trillion, one hundred forty-five billion, eleven million, five hundred four thousand, two hundred eleven".