51380788580112 has 240 divisors, whose sum is σ = 135134628608000. Its totient is φ = 16821310176000.

The previous prime is 51380788580081. The next prime is 51380788580119. The reversal of 51380788580112 is 21108588708315.

51380788580112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51380788580112² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51380788580119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68416495737 + ... + 68416496487.

Almost surely, 2^{51380788580112} is an apocalyptic number.

It is an amenable number.

51380788580112 is an abundant number, since it is smaller than the sum of its proper divisors (83753840027888).

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

51380788580112 is a wasteful number, since it uses less digits than its factorization.

51380788580112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 57.

The spelling of 51380788580112 in words is "fifty-one trillion, three hundred eighty billion, seven hundred eighty-eight million, five hundred eighty thousand, one hundred twelve".