51664544546615 has 256 divisors, whose sum is σ = 93298286592000. Its totient is φ = 26939768486400.

The previous prime is 51664544546603. The next prime is 51664544546623.

It is a happy number.

51664544546615 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51664544546615 - 2⁸ = 51664544546359 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 106931030 + ... + 107413100.

It is an arithmetic number, because the mean of its divisors is an integer number (364446432000).

Almost surely, 2^{51664544546615} is an apocalyptic number.

51664544546615 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51664544546615 is a deficient number, since it is larger than the sum of its proper divisors (41633742045385).

51664544546615 is a wasteful number, since it uses less digits than its factorization.

51664544546615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482163 (or 482149 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 62.

The spelling of 51664544546615 in words is "fifty-one trillion, six hundred sixty-four billion, five hundred forty-four million, five hundred forty-six thousand, six hundred fifteen".