54352765255680 has 760 divisors, whose sum is σ = 197561898643032. Its totient is φ = 14293483388928.

The previous prime is 54352765255669. The next prime is 54352765255739. The reversal of 54352765255680 is 8655256725345.

54352765255680 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 2 + 7 + 65 + 2 + 5 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14557460299776 + 39795304955904 = 3815424^2 + 6308352^2 .

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 39 ways as a sum of consecutive naturals, for example, 7750283854 + ... + 7750290866.

Almost surely, 2^{54352765255680} 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 54352765255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98780949321516).

54352765255680 is an abundant number, since it is smaller than the sum of its proper divisors (143209133387352).

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

54352765255680 is an frugal number, since it uses more digits than its factorization.

54352765255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 302400000, while the sum is 63.

The spelling of 54352765255680 in words is "fifty-four trillion, three hundred fifty-two billion, seven hundred sixty-five million, two hundred fifty-five thousand, six hundred eighty".