51000101061120 has 480 divisors, whose sum is σ = 182313586540800. Its totient is φ = 13165920092160.

The previous prime is 51000101061103. The next prime is 51000101061127. The reversal of 51000101061120 is 2116010100015.

It is a happy number.

51000101061120 is a `hidden beast` number, since 5 + 10 + 0 + 0 + 10 + 10 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 51000101061093 and 51000101061102.

It is not an unprimeable number, because it can be changed into a prime (51000101061127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169493205 + ... + 169793835.

It is an arithmetic number, because the mean of its divisors is an integer number (379819971960).

Almost surely, 2^{51000101061120} 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 51000101061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91156793270400).

51000101061120 is an abundant number, since it is smaller than the sum of its proper divisors (131313485479680).

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

51000101061120 is a wasteful number, since it uses less digits than its factorization.

51000101061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300896 (or 300877 counting only the distinct ones).

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

Adding to 51000101061120 its reverse (2116010100015), we get a palindrome (53116111161135).

The spelling of 51000101061120 in words is "fifty-one trillion, one hundred one million, sixty-one thousand, one hundred twenty".