54156535547667 has 128 divisors (see below), whose sum is σ = 90496659456000. Its totient is φ = 28107696314880.

The previous prime is 54156535547651. The next prime is 54156535547689. The reversal of 54156535547667 is 76674553565145.

It is not a de Polignac number, because 54156535547667 - 2⁴ = 54156535547651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54156535547627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1623429334 + ... + 1623462692.

It is an arithmetic number, because the mean of its divisors is an integer number (707005152000).

Almost surely, 2^{54156535547667} is an apocalyptic number.

54156535547667 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

54156535547667 is a deficient number, since it is larger than the sum of its proper divisors (36340123908333).

54156535547667 is a wasteful number, since it uses less digits than its factorization.

54156535547667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34401.

The product of its digits is 1587600000, while the sum is 69.

The spelling of 54156535547667 in words is "fifty-four trillion, one hundred fifty-six billion, five hundred thirty-five million, five hundred forty-seven thousand, six hundred sixty-seven".