51210769068900 has 1215 divisors, whose sum is σ = 199116725766651. Its totient is φ = 11351861095680.

The previous prime is 51210769068853. The next prime is 51210769068931. The reversal of 51210769068900 is 986096701215.

The square root of 51210769068900 is 7156170.

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

51210769068900 is a `hidden beast` number, since 512 + 1 + 0 + 7 + 69 + 0 + 68 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4861469355876 + 46349299713024 = 2204874^2 + 6808032^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 166810322547 + ... + 166810322853.

Almost surely, 2^{51210769068900} is an apocalyptic number.

51210769068900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51210769068900 is the 7156170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51210769068900

51210769068900 is an abundant number, since it is smaller than the sum of its proper divisors (147905956697751).

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

51210769068900 is a wasteful number, since it uses less digits than its factorization.

51210769068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 51210769068900 in words is "fifty-one trillion, two hundred ten billion, seven hundred sixty-nine million, sixty-eight thousand, nine hundred".