54576756480 has 576 divisors, whose sum is σ = 193272791040. Its totient is φ = 13063421952.

The previous prime is 54576756467. The next prime is 54576756503. The reversal of 54576756480 is 8465767545.

It is a self number, because there is not a number n which added to its sum of digits gives 54576756480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240426127 + ... + 240426353.

It is an arithmetic number, because the mean of its divisors is an integer number (335543040).

Almost surely, 2^54576756480 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 54576756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636395520).

54576756480 is an abundant number, since it is smaller than the sum of its proper divisors (138696034560).

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

54576756480 is a wasteful number, since it uses less digits than its factorization.

54576756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 57.

The spelling of 54576756480 in words is "fifty-four billion, five hundred seventy-six million, seven hundred fifty-six thousand, four hundred eighty".