54531684272100 has 144 divisors (see below), whose sum is σ = 189808529254400. Its totient is φ = 11808364705920.

The previous prime is 54531684272077. The next prime is 54531684272159. The reversal of 54531684272100 is 127248613545.

54531684272100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54531684272100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683314540 + ... + 683394339.

Almost surely, 2^{54531684272100} is an apocalyptic number.

54531684272100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54531684272100 is an abundant number, since it is smaller than the sum of its proper divisors (135276844982300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54531684272100 is a wasteful number, since it uses less digits than its factorization.

54531684272100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366708922 (or 1366708915 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 54531684272100 in words is "fifty-four trillion, five hundred thirty-one billion, six hundred eighty-four million, two hundred seventy-two thousand, one hundred".