54444347242160 has 160 divisors (see below), whose sum is σ = 129522355068480. Its totient is φ = 21277751721984.

The previous prime is 54444347242157. The next prime is 54444347242163. The reversal of 54444347242160 is 6124274344445.

54444347242160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54444347242157) and next prime (54444347242163).

It is a junction number, because it is equal to n+sod(n) for n = 54444347242099 and 54444347242108.

It is not an unprimeable number, because it can be changed into a prime (54444347242163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5771684804 + ... + 5771694236.

It is an arithmetic number, because the mean of its divisors is an integer number (809514719178).

Almost surely, 2^{54444347242160} 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 54444347242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64761177534240).

54444347242160 is an abundant number, since it is smaller than the sum of its proper divisors (75078007826320).

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

54444347242160 is a wasteful number, since it uses less digits than its factorization.

54444347242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18695 (or 18689 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 50.

The spelling of 54444347242160 in words is "fifty-four trillion, four hundred forty-four billion, three hundred forty-seven million, two hundred forty-two thousand, one hundred sixty".