52433672256 has 567 divisors, whose sum is σ = 184999963629. Its totient is φ = 14156706816.

The previous prime is 52433672243. The next prime is 52433672279. The reversal of 52433672256 is 65227633425.

The square root of 52433672256 is 228984.

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

52433672256 is a `hidden beast` number, since 524 + 3 + 3 + 6 + 72 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27494945856 + 24938726400 = 165816^2 + 157920^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1115610025 + ... + 1115610071.

Almost surely, 2^52433672256 is an apocalyptic number.

52433672256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

52433672256 is the 228984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52433672256

52433672256 is an abundant number, since it is smaller than the sum of its proper divisors (132566291373).

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

52433672256 is a wasteful number, since it uses less digits than its factorization.

52433672256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 88 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 52433672256 in words is "fifty-two billion, four hundred thirty-three million, six hundred seventy-two thousand, two hundred fifty-six".