51106051000056 has 128 divisors (see below), whose sum is σ = 138485012258880. Its totient is φ = 15623041314816.

The previous prime is 51106051000033. The next prime is 51106051000087. The reversal of 51106051000056 is 65000015060115.

It is a super-2 number, since 2×51106051000056² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51106050999987 and 51106051000032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480822790 + ... + 480929066.

Almost surely, 2^{51106051000056} 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 51106051000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69242506129440).

51106051000056 is an abundant number, since it is smaller than the sum of its proper divisors (87378961258824).

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

51106051000056 is a wasteful number, since it uses less digits than its factorization.

51106051000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116273 (or 116269 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 51106051000056 in words is "fifty-one trillion, one hundred six billion, fifty-one million, fifty-six", and thus it is an aban number.