51870844116 has 576 divisors, whose sum is σ = 177526702080. Its totient is φ = 12394736640.

The previous prime is 51870844111. The next prime is 51870844121. The reversal of 51870844116 is 61144807815.

51870844116 is a `hidden beast` number, since 518 + 7 + 0 + 84 + 41 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (51870844111) and next prime (51870844121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51870844111) 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 191 ways as a sum of consecutive naturals, for example, 123796555 + ... + 123796973.

It is an arithmetic number, because the mean of its divisors is an integer number (308206080).

Almost surely, 2^51870844116 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 51870844116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88763351040).

51870844116 is an abundant number, since it is smaller than the sum of its proper divisors (125655857964).

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

51870844116 is a wasteful number, since it uses less digits than its factorization.

51870844116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 51870844116 in words is "fifty-one billion, eight hundred seventy million, eight hundred forty-four thousand, one hundred sixteen".