54817250544 has 240 divisors, whose sum is σ = 180463116288. Its totient is φ = 15205252608.

The previous prime is 54817250539. The next prime is 54817250549. The reversal of 54817250544 is 44505271845.

54817250544 is a `hidden beast` number, since 5 + 4 + 81 + 7 + 25 + 0 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (54817250539) and next prime (54817250549).

It is a self number, because there is not a number n which added to its sum of digits gives 54817250544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54817250549) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20399569 + ... + 20402255.

Almost surely, 2^54817250544 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 54817250544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90231558144).

54817250544 is an abundant number, since it is smaller than the sum of its proper divisors (125645865744).

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

54817250544 is a wasteful number, since it uses less digits than its factorization.

54817250544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 54817250544 in words is "fifty-four billion, eight hundred seventeen million, two hundred fifty thousand, five hundred forty-four".