54582665050368 has 1728 divisors, whose sum is σ = 209305390694400. Its totient is φ = 13287931379712.

The previous prime is 54582665050339. The next prime is 54582665050373. The reversal of 54582665050368 is 86305056628545.

It is a happy number.

54582665050368 is a `hidden beast` number, since 5 + 4 + 5 + 8 + 2 + 6 + 65 + 0 + 503 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16545213583 + ... + 16545216881.

It is an arithmetic number, because the mean of its divisors is an integer number (121125804800).

Almost surely, 2^{54582665050368} 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 54582665050368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652695347200).

54582665050368 is an abundant number, since it is smaller than the sum of its proper divisors (154722725644032).

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

54582665050368 is a wasteful number, since it uses less digits than its factorization.

54582665050368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 54582665050368 in words is "fifty-four trillion, five hundred eighty-two billion, six hundred sixty-five million, fifty thousand, three hundred sixty-eight".