55968428252025 has 135 divisors (see below), whose sum is σ = 104989412146399. Its totient is φ = 29475468902880.

The previous prime is 55968428251949. The next prime is 55968428252129. The reversal of 55968428252025 is 52025282486955.

The square root of 55968428252025 is 7481205.

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

55968428252025 is a `hidden beast` number, since 5 + 5 + 9 + 6 + 8 + 4 + 2 + 82 + 520 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20148634170729 + 35819794081296 = 4488723^2 + 5984964^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 55968428252025 - 2⁹ = 55968428251513 is a prime.

It is a super-2 number, since 2×55968428252025² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27942299674 + ... + 27942301676.

Almost surely, 2^{55968428252025} is an apocalyptic number.

55968428252025 is the 7481205-th square number.

55968428252025 is the 3740603-rd centered octagonal number.

It is an amenable number.

55968428252025 is a deficient number, since it is larger than the sum of its proper divisors (49020983894374).

55968428252025 is an frugal number, since it uses more digits than its factorization.

55968428252025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 63.

The spelling of 55968428252025 in words is "fifty-five trillion, nine hundred sixty-eight billion, four hundred twenty-eight million, two hundred fifty-two thousand, twenty-five".