51001161120 has 1152 divisors, whose sum is σ = 224699844096. Its totient is φ = 10247897088.

The previous prime is 51001161067. The next prime is 51001161137. The reversal of 51001161120 is 2116110015.

It is a happy number.

51001161120 is a `hidden beast` number, since 51 + 0 + 0 + 1 + 1 + 611 + 2 + 0 = 666.

It is a super-2 number, since 2×51001161120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51001161093 and 51001161102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324848082 + ... + 324848238.

It is an arithmetic number, because the mean of its divisors is an integer number (195051948).

Almost surely, 2^51001161120 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 51001161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112349922048).

51001161120 is an abundant number, since it is smaller than the sum of its proper divisors (173698682976).

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

51001161120 is a wasteful number, since it uses less digits than its factorization.

51001161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 51001161120 its reverse (2116110015), we get a palindrome (53117271135).

The spelling of 51001161120 in words is "fifty-one billion, one million, one hundred sixty-one thousand, one hundred twenty".