51006005568 has 336 divisors, whose sum is σ = 178418313216. Its totient is φ = 13614289920.

The previous prime is 51006005549. The next prime is 51006005581. The reversal of 51006005568 is 86550060015.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×51006005568² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3981253 + ... + 3994043.

Almost surely, 2^51006005568 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 51006005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89209156608).

51006005568 is an abundant number, since it is smaller than the sum of its proper divisors (127412307648).

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

51006005568 is a wasteful number, since it uses less digits than its factorization.

51006005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 51006005568 in words is "fifty-one billion, six million, five thousand, five hundred sixty-eight".