54005515666056 has 128 divisors (see below), whose sum is σ = 153611960832000. Its totient is φ = 17570830423104.

The previous prime is 54005515665989. The next prime is 54005515666061. The reversal of 54005515666056 is 65066651550045.

54005515666056 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 54005515665993 and 54005515666011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11173765 + ... + 15259883.

It is an arithmetic number, because the mean of its divisors is an integer number (1200093444000).

Almost surely, 2^{54005515666056} 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 54005515666056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76805980416000).

54005515666056 is an abundant number, since it is smaller than the sum of its proper divisors (99606445165944).

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

54005515666056 is a wasteful number, since it uses less digits than its factorization.

54005515666056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087600 (or 4087590 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 54.

The spelling of 54005515666056 in words is "fifty-four trillion, five billion, five hundred fifteen million, six hundred sixty-six thousand, fifty-six".