20135144612160 has 84 divisors (see below), whose sum is σ = 69256507832148. Its totient is φ = 5369371895808.

The previous prime is 20135144612159. The next prime is 20135144612197. The reversal of 20135144612160 is 6121644153102.

20135144612160 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 51 + 446 + 1 + 2 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2301483180096 + 17833661432064 = 1517064^2 + 4222992^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3495681949 + ... + 3495687708.

It is an arithmetic number, because the mean of its divisors is an integer number (824482236097).

Almost surely, 2^{20135144612160} is an apocalyptic number.

20135144612160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20135144612160 is an abundant number, since it is smaller than the sum of its proper divisors (49121363219988).

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

20135144612160 is a wasteful number, since it uses less digits than its factorization.

20135144612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991369680 (or 6991369667 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 20135144612160 its reverse (6121644153102), we get a palindrome (26256788765262).

The spelling of 20135144612160 in words is "twenty trillion, one hundred thirty-five billion, one hundred forty-four million, six hundred twelve thousand, one hundred sixty".