54075136066560 has 1760 divisors, whose sum is σ = 225599285704320. Its totient is φ = 12282420068352.

The previous prime is 54075136066489. The next prime is 54075136066573. The reversal of 54075136066560 is 6566063157045.

54075136066560 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 5 + 13 + 6 + 0 + 66 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54075136066497 and 54075136066506.

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 159 ways as a sum of consecutive naturals, for example, 65387104867 + ... + 65387105693.

It is an arithmetic number, because the mean of its divisors is an integer number (128181412332).

Almost surely, 2^{54075136066560} 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 54075136066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112799642852160).

54075136066560 is an abundant number, since it is smaller than the sum of its proper divisors (171524149637760).

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

54075136066560 is an equidigital number, since it uses as much as digits as its factorization.

54075136066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 54075136066560 in words is "fifty-four trillion, seventy-five billion, one hundred thirty-six million, sixty-six thousand, five hundred sixty".