51010605556000 has 96 divisors (see below), whose sum is σ = 125350138433520. Its totient is φ = 20401461504000.

The previous prime is 51010605555983. The next prime is 51010605556003. The reversal of 51010605556000 is 65550601015.

It can be written as a sum of positive squares in 8 ways, for example, as 21093775097616 + 29916830458384 = 4592796^2 + 5469628^2 .

It is not an unprimeable number, because it can be changed into a prime (51010605556003) 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 15 ways as a sum of consecutive naturals, for example, 28610710 + ... + 30341290.

Almost surely, 2^{51010605556000} is an apocalyptic number.

51010605556000 is a gapful number since it is divisible by the number (50) 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 51010605556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62675069216760).

51010605556000 is an abundant number, since it is smaller than the sum of its proper divisors (74339532877520).

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

51010605556000 is a wasteful number, since it uses less digits than its factorization.

51010605556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737975 (or 1737957 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 51010605556000 in words is "fifty-one trillion, ten billion, six hundred five million, five hundred fifty-six thousand".