51728466404100 has 144 divisors (see below), whose sum is σ = 156179113896960. Its totient is φ = 13194158736000.

The previous prime is 51728466404089. The next prime is 51728466404119. The reversal of 51728466404100 is 140466482715.

It is a self number, because there is not a number n which added to its sum of digits gives 51728466404100.

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, 351488331 + ... + 351635469.

It is an arithmetic number, because the mean of its divisors is an integer number (1084577179840).

Almost surely, 2^{51728466404100} is an apocalyptic number.

51728466404100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51728466404100 is an abundant number, since it is smaller than the sum of its proper divisors (104450647492860).

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

51728466404100 is a wasteful number, since it uses less digits than its factorization.

51728466404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198130 (or 198123 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 51728466404100 in words is "fifty-one trillion, seven hundred twenty-eight billion, four hundred sixty-six million, four hundred four thousand, one hundred".