54630916013600 has 72 divisors (see below), whose sum is σ = 133439391902628. Its totient is φ = 21840623539200.

The previous prime is 54630916013587. The next prime is 54630916013669. The reversal of 54630916013600 is 631061903645.

54630916013600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 18722202071056 + 35908713942544 = 4326916^2 + 5992388^2 .

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 11 ways as a sum of consecutive naturals, for example, 16858499 + ... + 19836098.

Almost surely, 2^{54630916013600} is an apocalyptic number.

54630916013600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54630916013600 is an abundant number, since it is smaller than the sum of its proper divisors (78808475889028).

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

54630916013600 is a wasteful number, since it uses less digits than its factorization.

54630916013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36696478 (or 36696465 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 54630916013600 in words is "fifty-four trillion, six hundred thirty billion, nine hundred sixteen million, thirteen thousand, six hundred".