20513742042120 has 256 divisors, whose sum is σ = 66152717418240. Its totient is φ = 5070256570368.

The previous prime is 20513742042109. The next prime is 20513742042179. The reversal of 20513742042120 is 2124024731502.

It is a happy number.

It is a super-2 number, since 2×20513742042120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526608564 + ... + 526647516.

It is an arithmetic number, because the mean of its divisors is an integer number (258409052415).

Almost surely, 2^{20513742042120} is an apocalyptic number.

20513742042120 is a gapful number since it is divisible by the number (20) 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 20513742042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33076358709120).

20513742042120 is an abundant number, since it is smaller than the sum of its proper divisors (45638975376120).

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

20513742042120 is a wasteful number, since it uses less digits than its factorization.

20513742042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42904 (or 42900 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 20513742042120 its reverse (2124024731502), we get a palindrome (22637766773622).

The spelling of 20513742042120 in words is "twenty trillion, five hundred thirteen billion, seven hundred forty-two million, forty-two thousand, one hundred twenty".