51764571457600 has 567 divisors, whose sum is σ = 134751720696807. Its totient is φ = 19571589058560.

The previous prime is 51764571457583. The next prime is 51764571457607. The reversal of 51764571457600 is 675417546715.

The square root of 51764571457600 is 7194760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10772206666816 + 40992364790784 = 3282104^2 + 6402528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51764571457607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 581624398356 + ... + 581624398444.

Almost surely, 2^{51764571457600} is an apocalyptic number.

51764571457600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51764571457600 is the 7194760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51764571457600

51764571457600 is an abundant number, since it is smaller than the sum of its proper divisors (82987149239207).

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

51764571457600 is an frugal number, since it uses more digits than its factorization.

51764571457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24696000, while the sum is 58.

The spelling of 51764571457600 in words is "fifty-one trillion, seven hundred sixty-four billion, five hundred seventy-one million, four hundred fifty-seven thousand, six hundred".