51807371616 has 1296 divisors, whose sum is σ = 218059654176. Its totient is φ = 11313561600.

The previous prime is 51807371597. The next prime is 51807371617. The reversal of 51807371616 is 61617370815.

51807371616 is a `hidden beast` number, since 518 + 0 + 7 + 3 + 71 + 61 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51807371617) 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 215 ways as a sum of consecutive naturals, for example, 1671205521 + ... + 1671205551.

It is an arithmetic number, because the mean of its divisors is an integer number (168255906).

Almost surely, 2^51807371616 is an apocalyptic number.

51807371616 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 51807371616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109029827088).

51807371616 is an abundant number, since it is smaller than the sum of its proper divisors (166252282560).

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

51807371616 is a wasteful number, since it uses less digits than its factorization.

51807371616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 51807371616 in words is "fifty-one billion, eight hundred seven million, three hundred seventy-one thousand, six hundred sixteen".