51641531200056 has 128 divisors (see below), whose sum is σ = 147917419315200. Its totient is φ = 14717721233280.

The previous prime is 51641531200043. The next prime is 51641531200067. The reversal of 51641531200056 is 65000213514615.

It is a junction number, because it is equal to n+sod(n) for n = 51641531199987 and 51641531200023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303490441 + ... + 303660551.

It is an arithmetic number, because the mean of its divisors is an integer number (1155604838400).

Almost surely, 2^{51641531200056} is an apocalyptic number.

51641531200056 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 51641531200056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73958709657600).

51641531200056 is an abundant number, since it is smaller than the sum of its proper divisors (96275888115144).

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

51641531200056 is a wasteful number, since it uses less digits than its factorization.

51641531200056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174649 (or 174645 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 51641531200056 in words is "fifty-one trillion, six hundred forty-one billion, five hundred thirty-one million, two hundred thousand, fifty-six".