51559151616 has 360 divisors, whose sum is σ = 179174955960. Its totient is φ = 14728863744.

The previous prime is 51559151537. The next prime is 51559151653. The reversal of 51559151616 is 61615195515.

51559151616 is a `hidden beast` number, since 5 + 1 + 5 + 591 + 51 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×51559151616² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8125341 + ... + 8131683.

It is an arithmetic number, because the mean of its divisors is an integer number (497708211).

Almost surely, 2^51559151616 is an apocalyptic number.

51559151616 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 51559151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89587477980).

51559151616 is an abundant number, since it is smaller than the sum of its proper divisors (127615804344).

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

51559151616 is an equidigital number, since it uses as much as digits as its factorization.

51559151616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6355 counting only the distinct ones).

The product of its digits is 202500, while the sum is 45.

The spelling of 51559151616 in words is "fifty-one billion, five hundred fifty-nine million, one hundred fifty-one thousand, six hundred sixteen".