51684163059144 has 1152 divisors, whose sum is σ = 186953918054400. Its totient is φ = 11582258688000.

The previous prime is 51684163059143. The next prime is 51684163059157. The reversal of 51684163059144 is 44195036148615.

51684163059144 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 2×51684163059144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (51684163059143) 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 287 ways as a sum of consecutive naturals, for example, 6309868089 + ... + 6309876279.

It is an arithmetic number, because the mean of its divisors is an integer number (162286387200).

Almost surely, 2^{51684163059144} 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 51684163059144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93476959027200).

51684163059144 is an abundant number, since it is smaller than the sum of its proper divisors (135269754995256).

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

51684163059144 is a wasteful number, since it uses less digits than its factorization.

51684163059144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8327 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 51684163059144 in words is "fifty-one trillion, six hundred eighty-four billion, one hundred sixty-three million, fifty-nine thousand, one hundred forty-four".