51125180484216 has 256 divisors, whose sum is σ = 132896551219200. Its totient is φ = 16379490816000.

The previous prime is 51125180484199. The next prime is 51125180484221. The reversal of 51125180484216 is 61248408152115.

It is a super-2 number, since 2×51125180484216² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 26204602041 + ... + 26204603991.

It is an arithmetic number, because the mean of its divisors is an integer number (519127153200).

Almost surely, 2^{51125180484216} 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 51125180484216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66448275609600).

51125180484216 is an abundant number, since it is smaller than the sum of its proper divisors (81771370734984).

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

51125180484216 is a wasteful number, since it uses less digits than its factorization.

51125180484216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 51125180484216 in words is "fifty-one trillion, one hundred twenty-five billion, one hundred eighty million, four hundred eighty-four thousand, two hundred sixteen".