51061276378112 has 1056 divisors, whose sum is σ = 148622497228800. Its totient is φ = 16969413427200.

The previous prime is 51061276378109. The next prime is 51061276378121. The reversal of 51061276378112 is 21187367216015.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10380415589 + ... + 10380420507.

Almost surely, 2^{51061276378112} is an apocalyptic number.

51061276378112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51061276378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74311248614400).

51061276378112 is an abundant number, since it is smaller than the sum of its proper divisors (97561220850688).

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

51061276378112 is a wasteful number, since it uses less digits than its factorization.

51061276378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The spelling of 51061276378112 in words is "fifty-one trillion, sixty-one billion, two hundred seventy-six million, three hundred seventy-eight thousand, one hundred twelve".