51000600016 has 80 divisors (see below), whose sum is σ = 105453964800. Its totient is φ = 23840593920.

The previous prime is 51000600011. The next prime is 51000600037. The reversal of 51000600016 is 61000600015.

It is a super-2 number, since 2×51000600016² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51000599966 and 51000600002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51000600011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5280760 + ... + 5290408.

It is an arithmetic number, because the mean of its divisors is an integer number (1318174560).

Almost surely, 2^51000600016 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 51000600016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52726982400).

51000600016 is an abundant number, since it is smaller than the sum of its proper divisors (54453364784).

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

51000600016 is a wasteful number, since it uses less digits than its factorization.

51000600016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004 (or 9998 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Subtracting 51000600016 from its reverse (61000600015), we obtain a palindrome (9999999999).

The spelling of 51000600016 in words is "fifty-one billion, six hundred thousand, sixteen".