51228089600 has 108 divisors (see below), whose sum is σ = 129890814060. Its totient is φ = 19991347200.

The previous prime is 51228089599. The next prime is 51228089609. The reversal of 51228089600 is 698082215.

It can be written as a sum of positive squares in 6 ways, for example, as 11598428416 + 39629661184 = 107696^2 + 199072^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51228089609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164786 + ... + 360014.

Almost surely, 2^51228089600 is an apocalyptic number.

51228089600 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 51228089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64945407030).

51228089600 is an abundant number, since it is smaller than the sum of its proper divisors (78662724460).

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

51228089600 is a wasteful number, since it uses less digits than its factorization.

51228089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195296 (or 195277 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 51228089600 in words is "fifty-one billion, two hundred twenty-eight million, eighty-nine thousand, six hundred".