55641331406565 has 256 divisors, whose sum is σ = 103803183360000. Its totient is φ = 28605822271488.

The previous prime is 55641331406543. The next prime is 55641331406569. The reversal of 55641331406565 is 56560413314655.

55641331406565 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 1 + 3 + 31 + 40 + 6 + 565 = 666.

It is not a de Polignac number, because 55641331406565 - 2⁵ = 55641331406533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55641331406569) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20692200741 + ... + 20692203429.

It is an arithmetic number, because the mean of its divisors is an integer number (405481185000).

Almost surely, 2^{55641331406565} is an apocalyptic number.

It is an amenable number.

55641331406565 is a deficient number, since it is larger than the sum of its proper divisors (48161851953435).

55641331406565 is a wasteful number, since it uses less digits than its factorization.

55641331406565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 55641331406565 in words is "fifty-five trillion, six hundred forty-one billion, three hundred thirty-one million, four hundred six thousand, five hundred sixty-five".