54561035306624 has 128 divisors (see below), whose sum is σ = 135538224566400. Its totient is φ = 21254194483200.

The previous prime is 54561035306611. The next prime is 54561035306641. The reversal of 54561035306624 is 42660353016545.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62536754 + ... + 63403214.

It is an arithmetic number, because the mean of its divisors is an integer number (1058892379425).

Almost surely, 2^{54561035306624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54561035306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67769112283200).

54561035306624 is an abundant number, since it is smaller than the sum of its proper divisors (80977189259776).

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

54561035306624 is a wasteful number, since it uses less digits than its factorization.

54561035306624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872882 (or 872870 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 50.

The spelling of 54561035306624 in words is "fifty-four trillion, five hundred sixty-one billion, thirty-five million, three hundred six thousand, six hundred twenty-four".