54561384852 has 192 divisors, whose sum is σ = 147095585280. Its totient is φ = 15611904000.

The previous prime is 54561384833. The next prime is 54561384877. The reversal of 54561384852 is 25848316545.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54561384795 and 54561384804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19477852 + ... + 19480652.

It is an arithmetic number, because the mean of its divisors is an integer number (766122840).

Almost surely, 2^54561384852 is an apocalyptic number.

54561384852 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54561384852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73547792640).

54561384852 is an abundant number, since it is smaller than the sum of its proper divisors (92534200428).

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

54561384852 is a wasteful number, since it uses less digits than its factorization.

54561384852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2992 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 51.

The spelling of 54561384852 in words is "fifty-four billion, five hundred sixty-one million, three hundred eighty-four thousand, eight hundred fifty-two".