51120144041120 has 384 divisors, whose sum is σ = 151620014633472. Its totient is φ = 15822961459200.

The previous prime is 51120144041077. The next prime is 51120144041123. The reversal of 51120144041120 is 2114044102115.

It is a happy number.

It is a super-2 number, since 2×51120144041120² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51120144041120.

It is not an unprimeable number, because it can be changed into a prime (51120144041123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1313009174 + ... + 1313048106.

It is an arithmetic number, because the mean of its divisors is an integer number (394843788108).

Almost surely, 2^{51120144041120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51120144041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75810007316736).

51120144041120 is an abundant number, since it is smaller than the sum of its proper divisors (100499870592352).

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

51120144041120 is a wasteful number, since it uses less digits than its factorization.

51120144041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39704 (or 39696 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 51120144041120 its reverse (2114044102115), we get a palindrome (53234188143235).

The spelling of 51120144041120 in words is "fifty-one trillion, one hundred twenty billion, one hundred forty-four million, forty-one thousand, one hundred twenty".