54567442642000 has 160 divisors (see below), whose sum is σ = 135023321347200. Its totient is φ = 21317671065600.

The previous prime is 54567442641931. The next prime is 54567442642039. The reversal of 54567442642000 is 24624476545.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1952100024 + ... + 1952127976.

It is an arithmetic number, because the mean of its divisors is an integer number (843895758420).

Almost surely, 2^{54567442642000} is an apocalyptic number.

54567442642000 is a gapful number since it is divisible by the number (50) 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 54567442642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67511660673600).

54567442642000 is an abundant number, since it is smaller than the sum of its proper divisors (80455878705200).

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

54567442642000 is a wasteful number, since it uses less digits than its factorization.

54567442642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50718 (or 50702 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 49.

The spelling of 54567442642000 in words is "fifty-four trillion, five hundred sixty-seven billion, four hundred forty-two million, six hundred forty-two thousand".