51267891225600 has 891 divisors, whose sum is σ = 213633074230641. Its totient is φ = 11712876134400.

The previous prime is 51267891225553. The next prime is 51267891225721. The reversal of 51267891225600 is 652219876215.

The square root of 51267891225600 is 7160160.

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

51267891225600 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 7 + 8 + 9 + 1 + 2 + 25 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18456440841216 + 32811450384384 = 4296096^2 + 5728128^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 24058136535 + ... + 24058138665.

Almost surely, 2^{51267891225600} is an apocalyptic number.

51267891225600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51267891225600 is the 7160160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51267891225600

51267891225600 is an abundant number, since it is smaller than the sum of its proper divisors (162365183005041).

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

51267891225600 is an equidigital number, since it uses as much as digits as its factorization.

51267891225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 51267891225600 in words is "fifty-one trillion, two hundred sixty-seven billion, eight hundred ninety-one million, two hundred twenty-five thousand, six hundred".