51182487442944 has 800 divisors, whose sum is σ = 188920030844160. Its totient is φ = 13563235123200.

The previous prime is 51182487442921. The next prime is 51182487442949. The reversal of 51182487442944 is 44924478428115.

51182487442944 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 24 + 87 + 442 + 94 + 4 = 666.

51182487442944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51182487442949) 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 79 ways as a sum of consecutive naturals, for example, 112452309 + ... + 112906539.

Almost surely, 2^{51182487442944} is an apocalyptic number.

51182487442944 is a gapful number since it is divisible by the number (54) 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 51182487442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94460015422080).

51182487442944 is an abundant number, since it is smaller than the sum of its proper divisors (137737543401216).

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

51182487442944 is a wasteful number, since it uses less digits than its factorization.

51182487442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454304 (or 454279 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 51182487442944 in words is "fifty-one trillion, one hundred eighty-two billion, four hundred eighty-seven million, four hundred forty-two thousand, nine hundred forty-four".