54385000566 has 64 divisors (see below), whose sum is σ = 122283399168. Its totient is φ = 15999274368.

The previous prime is 54385000561. The next prime is 54385000603. The reversal of 54385000566 is 66500058345.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54385000561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5245860 + ... + 5256216.

It is an arithmetic number, because the mean of its divisors is an integer number (1910678112).

Almost surely, 2^54385000566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54385000566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61141699584).

54385000566 is an abundant number, since it is smaller than the sum of its proper divisors (67898398602).

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

54385000566 is a wasteful number, since it uses less digits than its factorization.

54385000566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13325.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 54385000566 in words is "fifty-four billion, three hundred eighty-five million, five hundred sixty-six", and thus it is an aban number.