51678928900 has 81 divisors (see below), whose sum is σ = 113668244949. Its totient is φ = 20394228960.

The previous prime is 51678928879. The next prime is 51678928907. The reversal of 51678928900 is 982987615.

The square root of 51678928900 is 227330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18604414404 + 33074514496 = 136398^2 + 181864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51678928907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 288709011 + ... + 288709189.

Almost surely, 2^51678928900 is an apocalyptic number.

51678928900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51678928900 is the 227330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51678928900

51678928900 is an abundant number, since it is smaller than the sum of its proper divisors (61989316049).

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

51678928900 is a wasteful number, since it uses less digits than its factorization.

51678928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 51678928900 in words is "fifty-one billion, six hundred seventy-eight million, nine hundred twenty-eight thousand, nine hundred".