54642661011567 has 24 divisors (see below), whose sum is σ = 83656667349216. Its totient is φ = 34250498405376.

The previous prime is 54642661011539. The next prime is 54642661011623. The reversal of 54642661011567 is 76511016624645.

54642661011567 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 2 + 6 + 61 + 0 + 11 + 567 = 666.

It is not a de Polignac number, because 54642661011567 - 2¹⁰ = 54642661010543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54642661011527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182625123 + ... + 182924084.

It is an arithmetic number, because the mean of its divisors is an integer number (3485694472884).

Almost surely, 2^{54642661011567} is an apocalyptic number.

54642661011567 is a deficient number, since it is larger than the sum of its proper divisors (29014006337649).

54642661011567 is a wasteful number, since it uses less digits than its factorization.

54642661011567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365550207 (or 365550204 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 54642661011567 in words is "fifty-four trillion, six hundred forty-two billion, six hundred sixty-one million, eleven thousand, five hundred sixty-seven".