51006655656 has 192 divisors, whose sum is σ = 161003980800. Its totient is φ = 14424220800.

The previous prime is 51006655643. The next prime is 51006655691. The reversal of 51006655656 is 65655660015.

51006655656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 982921 + ... + 1033511.

It is an arithmetic number, because the mean of its divisors is an integer number (838562400).

Almost surely, 2^51006655656 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 51006655656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80501990400).

51006655656 is an abundant number, since it is smaller than the sum of its proper divisors (109997325144).

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

51006655656 is a wasteful number, since it uses less digits than its factorization.

51006655656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50700 (or 50693 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 51006655656 in words is "fifty-one billion, six million, six hundred fifty-five thousand, six hundred fifty-six".