51322448016 has 160 divisors (see below), whose sum is σ = 169369159680. Its totient is φ = 14575607424.

The previous prime is 51322448011. The next prime is 51322448083. The reversal of 51322448016 is 61084422315.

It is a happy number.

51322448016 is a `hidden beast` number, since 513 + 22 + 44 + 80 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51322448011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 454195 + ... + 555821.

It is an arithmetic number, because the mean of its divisors is an integer number (1058557248).

Almost surely, 2^51322448016 is an apocalyptic number.

51322448016 is a gapful number since it is divisible by the number (56) 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 51322448016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84684579840).

51322448016 is an abundant number, since it is smaller than the sum of its proper divisors (118046711664).

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

51322448016 is a wasteful number, since it uses less digits than its factorization.

51322448016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101818 (or 101806 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 51322448016 in words is "fifty-one billion, three hundred twenty-two million, four hundred forty-eight thousand, sixteen".