54528009338880 has 3584 divisors, whose sum is σ = 251678307168000. Its totient is φ = 11330495447040.

The previous prime is 54528009338857. The next prime is 54528009338899. The reversal of 54528009338880 is 8883390082545.

54528009338880 is a `hidden beast` number, since 54 + 52 + 80 + 0 + 9 + 3 + 388 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4957091758075 + ... + 4957091758085.

Almost surely, 2^{54528009338880} 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 54528009338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125839153584000).

54528009338880 is an abundant number, since it is smaller than the sum of its proper divisors (197150297829120).

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

54528009338880 is an frugal number, since it uses more digits than its factorization.

54528009338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 54528009338880 in words is "fifty-four trillion, five hundred twenty-eight billion, nine million, three hundred thirty-eight thousand, eight hundred eighty".