54753680582328 has 512 divisors, whose sum is σ = 172830022041600. Its totient is φ = 14072548442112.

The previous prime is 54753680582327. The next prime is 54753680582333. The reversal of 54753680582328 is 82328508635745.

It is a Cunningham number, because it is equal to 7399573²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54753680582327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6482022601 + ... + 6482031047.

It is an arithmetic number, because the mean of its divisors is an integer number (337558636800).

Almost surely, 2^{54753680582328} 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 54753680582328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86415011020800).

54753680582328 is an abundant number, since it is smaller than the sum of its proper divisors (118076341459272).

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

54753680582328 is a wasteful number, since it uses less digits than its factorization.

54753680582328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9031 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 387072000, while the sum is 66.

The spelling of 54753680582328 in words is "fifty-four trillion, seven hundred fifty-three billion, six hundred eighty million, five hundred eighty-two thousand, three hundred twenty-eight".